Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
85701	Integrate Using u-Substitution	integral of tan(x)^4 with respect to x	$\int \tan^{4} (x) d x$
85702	Integrate Using u-Substitution	integral of x/( cube root of x^2+1) with respect to x	$\int \frac{x}{\sqrt[3]{x^{2} + 1}} d x$
85703	Integrate Using u-Substitution	integral of (7x+e^(4x)) with respect to x	$\int (7 x + e^{4 x}) d x$
85704	Integrate Using u-Substitution	integral of y square root of 2y^2+1 with respect to y	$\int y \sqrt{2 y^{2} + 1} d y$
85705	Integrate Using u-Substitution	integral of sec(x)tan(x) with respect to x	$\int \sec (x) \tan (x) d x$
85706	Integrate Using u-Substitution	integral of 24x cube root of 1-3x^2 with respect to x	$\int 24 x \sqrt[3]{1 - 3 x^{2}} d x$
85707	Integrate Using u-Substitution	integral of (x+3)/((3x-4)^(3/2)) with respect to x	$\int \frac{x + 3}{{(3 x - 4)}^{\frac{3}{2}}} d x$
85708	Integrate Using u-Substitution	integral of (2x)/((1-x^2)^3) with respect to x	$\int \frac{2 x}{{(1 - x^{2})}^{3}} d x$
85709	Integrate Using u-Substitution	integral from 0 to pi/2 of (cos(theta))/( square root of 1+sin(theta)) with respect to theta	$\int_{0}^{\frac{π}{2}} \frac{\cos (θ)}{\sqrt{1 + \sin (θ)}} d θ$
85710	Integrate Using u-Substitution	integral of e^(-x) with respect to x	$\int e^{- x} d x$
85711	Integrate Using u-Substitution	integral of ( square root of natural log of x)/x with respect to x	$\int \frac{\sqrt{\ln (x)}}{x} d x$
85712	Integrate Using u-Substitution	integral of natural log of square root of x with respect to x	$\int \ln (\sqrt{x}) d x$
85713	Integrate Using u-Substitution	integral of z^7(10z^8-4) with respect to z	$\int z^{7} (10 z^{8} - 4) d z$
85714	Integrate Using u-Substitution	integral from 0 to 1 of x(x^2+1)^3 with respect to x	$\int_{0}^{1} x {(x^{2} + 1)}^{3} d x$
85715	Integrate Using u-Substitution	integral of x^3sin(x^4) with respect to x	$\int x^{3} \sin (x^{4}) d x$
85716	Integrate Using u-Substitution	integral of 3x square root of 1-2x^2 with respect to x	$\int 3 x \sqrt{1 - 2 x^{2}} d x$
85717	Integrate Using u-Substitution	integral of -sin(-x+2) with respect to x	$\int - \sin (- x + 2) d x$
85718	Integrate Using u-Substitution	integral of x square root of 2-x with respect to x	$\int x \sqrt{2 - x} d x$
85719	Integrate Using u-Substitution	integral of 1/(3x+12) with respect to x	$\int \frac{1}{3 x + 12} d x$
85720	Integrate Using u-Substitution	integral of csc(x)^2cot(x)^2 with respect to x	$\int \csc^{2} (x) \cot^{2} (x) d x$
85721	Integrate Using u-Substitution	integral of x^2 square root of 1-x with respect to x	$\int x^{2} \sqrt{1 - x} d x$
85722	Integrate Using u-Substitution	integral of (x^2)/(x-1) with respect to x	$\int \frac{x^{2}}{x - 1} d x$
85723	Integrate Using u-Substitution	integral of 3x^( square root of 3) with respect to x	$\int 3 x^{\sqrt{3}} d x$
85724	Integrate Using u-Substitution	integral of x(3^(-x^2)) with respect to x	$\int x (3^{- x^{2}}) d x$
85725	Integrate Using u-Substitution	integral from e to e^2 of 1/(x natural log of x) with respect to x	$\int_{e}^{e^{2}} \frac{1}{x \ln (x)} d x$
85726	Integrate Using u-Substitution	integral from -1 to 1 of (5r)/((4+r^2)^2) with respect to r	$\int_{- 1}^{1} \frac{5 r}{{(4 + r^{2})}^{2}} d r$
85727	Integrate Using u-Substitution	integral of (x^2)/( square root of 1-x^2) with respect to x	$\int \frac{x^{2}}{\sqrt{1 - x^{2}}} d x$
85728	Integrate Using u-Substitution	integral of 16/(x^2+2x+1) with respect to x	$\int \frac{16}{x^{2} + 2 x + 1} d x$
85729	Integrate Using u-Substitution	integral of ( square root of x^2-1)/x with respect to x	$\int \frac{\sqrt{x^{2} - 1}}{x} d x$
85730	Integrate Using u-Substitution	integral from 0 to 7 of square root of 4+3x with respect to x	$\int_{0}^{7} \sqrt{4 + 3 x} d x$
85731	Integrate Using u-Substitution	integral of (x^2)/(x^3+1) with respect to x	$\int \frac{x^{2}}{x^{3} + 1} d x$
85732	Integrate Using u-Substitution	integral of arccos(x) with respect to x	$\int \arccos (x) d x$
85733	Integrate Using u-Substitution	integral of 1/(3y) with respect to y	$\int \frac{1}{3 y} d y$
85734	Integrate Using u-Substitution	integral of [x^2+1/((3x)^2)] with respect to x	$\int [x^{2} + \frac{1}{{(3 x)}^{2}}] d x$
85735	Integrate Using u-Substitution	integral of x^3cos(x^4+2) with respect to x	$\int x^{3} \cos (x^{4} + 2) d x$
85736	Integrate Using u-Substitution	integral of 1/(x natural log of x^2) with respect to x	$\int \frac{1}{x \ln^{2} (x)} d x$
85737	Integrate Using u-Substitution	integral from 0 to a of x square root of a^2-x^2 with respect to x	$\int_{0}^{a} x \sqrt{a^{2} - x^{2}} d x$
85738	Integrate Using u-Substitution	integral of x(x+1)^3 with respect to x	$\int x {(x + 1)}^{3} d x$
85739	Integrate Using u-Substitution	integral of (x^2+2)(x+1)^42 with respect to x	$\int (x^{2} + 2) {(x + 1)}^{42} d x$
85740	Integrate Using u-Substitution	integral of (x^3)/( square root of x^2+1) with respect to x	$\int \frac{x^{3}}{\sqrt{x^{2} + 1}} d x$
85741	Integrate Using u-Substitution	integral from 2 to 7 of x square root of x+2 with respect to x	$\int_{2}^{7} x \sqrt{x + 2} d x$
85742	Integrate Using u-Substitution	integral of (x^2)/( square root of x-4) with respect to x	$\int \frac{x^{2}}{\sqrt{x - 4}} d x$
85743	Integrate Using u-Substitution	integral of x^2 square root of x-3 with respect to x	$\int x^{2} \sqrt{x - 3} d x$
85744	Integrate Using u-Substitution	integral of (e^x)/( square root of 2+e^x) with respect to x	$\int \frac{e^{x}}{\sqrt{2 + e^{x}}} d x$
85745	Integrate Using u-Substitution	integral of 5x( square root of x-x^2) with respect to x	$\int 5 x (\sqrt{x} - x^{2}) d x$
85746	Integrate Using u-Substitution	integral of tan(x)^5 with respect to x	$\int \tan^{5} (x) d x$
85747	Integrate Using u-Substitution	integral of 1/(x square root of x) with respect to x	$\int \frac{1}{x \sqrt{x}} d x$
85748	Integrate Using u-Substitution	integral of x^5 square root of 1+x^2 with respect to x	$\int x^{5} \sqrt{1 + x^{2}} d x$
85749	Integrate Using u-Substitution	integral of (x^2)/( fourth root of x^3+2) with respect to x	$\int \frac{x^{2}}{\sqrt[4]{x^{3} + 2}} d x$
85750	Integrate Using u-Substitution	integral of 2xcos(x^2) with respect to x	$\int 2 x \cos (x^{2}) d x$
85751	Integrate Using u-Substitution	integral of 2/x with respect to x	$\int \frac{2}{x} d x$
85752	Integrate Using u-Substitution	integral of sec(x)^3 with respect to x	$\int \sec^{3} (x) d x$
85753	Integrate Using u-Substitution	integral of ( square root of 9-x^2)/(x^2) with respect to x	$\int \frac{\sqrt{9 - x^{2}}}{x^{2}} d x$
85754	Integrate Using u-Substitution	integral of (x^3)/( cube root of x^2+1) with respect to x	$\int \frac{x^{3}}{\sqrt[3]{x^{2} + 1}} d x$
85755	Integrate Using u-Substitution	integral of (x^2)/( square root of 4-x^2) with respect to x	$\int \frac{x^{2}}{\sqrt{4 - x^{2}}} d x$
85756	Integrate Using u-Substitution	integral of 3^x with respect to x	$\int 3^{x} d x$
85757	Integrate Using u-Substitution	integral of cos(x/2) with respect to x	$\int \cos (\frac{x}{2}) d x$
85758	Integrate Using u-Substitution	integral of (11x)/( square root of 5-x^2) with respect to x	$\int \frac{11 x}{\sqrt{5 - x^{2}}} d x$
85759	Integrate Using u-Substitution	integral of 2/(3 cube root of 3-2x) with respect to x	$\int \frac{2}{3 \sqrt[3]{3 - 2 x}} d x$
85760	Integrate Using u-Substitution	integral of (x+1)tan(3x^2+6x)^2sec(3x^2+6x)^2 with respect to x	$\int (x + 1) \tan^{2} (3 x^{2} + 6 x) \sec^{2} (3 x^{2} + 6 x) d x$
85761	Integrate Using u-Substitution	integral of cos( natural log of x) with respect to x	$\int \cos (\ln (x)) d x$
85762	Integrate Using u-Substitution	integral of 4x^2(7-3x^3)^3 with respect to x	$\int 4 x^{2} {(7 - 3 x^{3})}^{3} d x$
85763	Integrate Using u-Substitution	integral of x natural log of x with respect to x	$\int x \ln (x) d x$
85764	Integrate Using u-Substitution	integral from -2 to 2 of square root of 4-x^2 with respect to x	$\int_{- 2}^{2} \sqrt{4 - x^{2}} d x$
85765	Integrate Using u-Substitution	integral of 1/(x( natural log of x)^2) with respect to x	$\int \frac{1}{x \ln^{2} (x)} d x$
85766	Integrate Using u-Substitution	integral of e^x(e^x+1)^2 with respect to x	$\int e^{x} {(e^{x} + 1)}^{2} d x$
85767	Integrate Using u-Substitution	integral of 1/( square root of x)sin( square root of x) with respect to x	$\int \frac{1}{\sqrt{x}} \sin (\sqrt{x}) d x$
85768	Integrate Using u-Substitution	integral from -2 to 1 of 1/(x+3) with respect to x	$\int_{- 2}^{1} \frac{1}{x + 3} d x$
85769	Integrate Using u-Substitution	integral from 0 to 1 of (3t-1)^50 with respect to t	$\int_{0}^{1} {(3 t - 1)}^{50} d t$
85770	Integrate Using u-Substitution	integral of 1/( square root of 2x+1) with respect to x	$\int \frac{1}{\sqrt{2 x + 1}} d x$
85771	Integrate Using u-Substitution	integral of 1/(x^2-1) with respect to x	$\int \frac{1}{x^{2} - 1} d x$
85772	Integrate Using u-Substitution	integral of (x^2)/( square root of x+2) with respect to x	$\int \frac{x^{2}}{\sqrt{x + 2}} d x$
85773	Integrate Using u-Substitution	integral of x^2(x+1)^3 with respect to x	$\int x^{2} {(x + 1)}^{3} d x$
85774	Integrate Using u-Substitution	integral of x^2 cube root of 3x^3+7 with respect to x	$\int x^{2} \sqrt[3]{3 x^{3} + 7} d x$
85775	Integrate Using u-Substitution	integral of (2x^2)/((2x^3-5)^3) with respect to x	$\int \frac{2 x^{2}}{{(2 x^{3} - 5)}^{3}} d x$
85776	Integrate Using u-Substitution	integral of sec(x/4)^2 with respect to x	$\int \sec^{2} (\frac{x}{4}) d x$
85777	Integrate Using u-Substitution	integral of (x^2+3x+7)/( square root of x) with respect to x	$\int \frac{x^{2} + 3 x + 7}{\sqrt{x}} d x$
85778	Integrate Using u-Substitution	integral of 1/(cos(x)) with respect to x	$\int \frac{1}{\cos (x)} d x$
85779	Integrate Using u-Substitution	integral of e^xsin(e^x) with respect to x	$\int e^{x} \sin (e^{x}) d x$
85780	Integrate Using u-Substitution	integral of 1/(4-3x) with respect to x	$\int \frac{1}{4 - 3 x} d x$
85781	Integrate Using u-Substitution	integral of ( natural log of x)^2 with respect to x	$\int \ln^{2} (x) d x$
85782	Integrate Using u-Substitution	integral of ( square root of x^2-4)/x with respect to x	$\int \frac{\sqrt{x^{2} - 4}}{x} d x$
85783	Integrate Using u-Substitution	integral of 2^x with respect to x	$\int 2^{x} d x$
85784	Integrate Using u-Substitution	integral of (-9x^2+x+4)^8(-18x+1) with respect to x	$\int {(- 9 x^{2} + x + 4)}^{8} (- 18 x + 1) d x$
85785	Integrate Using u-Substitution	integral of e^(3x+1) with respect to x	$\int e^{3 x + 1} d x$
85786	Integrate Using u-Substitution	integral from 0 to 3 of square root of 9-x^2 with respect to x	$\int_{0}^{3} \sqrt{9 - x^{2}} d x$
85787	Integrate Using u-Substitution	integral of (3x^2+4x+1)/(3x^3+6x^2+3x+5) with respect to x	$\int \frac{3 x^{2} + 4 x + 1}{3 x^{3} + 6 x^{2} + 3 x + 5} d x$
85788	Integrate Using u-Substitution	integral of 1/((8x-1)^2) with respect to x	$\int \frac{1}{{(8 x - 1)}^{2}} d x$
85789	Integrate Using u-Substitution	integral of natural log of 4x^2 with respect to x	$\int \ln (4 x^{2}) d x$
85790	Integrate Using u-Substitution	integral from 2 to 3 of x/((x^2-3)^2) with respect to x	$\int_{2}^{3} \frac{x}{{(x^{2} - 3)}^{2}} d x$
85791	Integrate Using u-Substitution	integral of 3t^2(2t^3+8)^-1 with respect to t	$\int 3 t^{2} {(2 t^{3} + 8)}^{- 1} d t$
85792	Integrate Using u-Substitution	integral of (x^3-6x-4)/(x+2) with respect to x	$\int \frac{x^{3} - 6 x - 4}{x + 2} d x$
85793	Integrate Using u-Substitution	integral of 10x(5x^2-2)^2 with respect to x	$\int 10 x {(5 x^{2} - 2)}^{2} d x$
85794	Integrate Using u-Substitution	integral of 6(1+6x)^4 with respect to x	$\int 6 {(1 + 6 x)}^{4} d x$
85795	Integrate Using u-Substitution	integral of sin(x)^4cos(x)^2 with respect to x	$\int \sin^{4} (x) \cos^{2} (x) d x$
85796	Integrate Using u-Substitution	integral from 3 to 4 of x square root of x-3 with respect to x	$\int_{3}^{4} x \sqrt{x - 3} d x$
85797	Integrate Using u-Substitution	integral of arcsin(x) with respect to x	$\int \arcsin (x) d x$
85798	Integrate Using u-Substitution	integral of 1/( square root of 5x+8) with respect to x	$\int \frac{1}{\sqrt{5 x + 8}} d x$
85799	Integrate Using u-Substitution	integral of 1/(sec(x)^2) with respect to x	$\int \frac{1}{\sec^{2} (x)} d x$
85800	Integrate Using u-Substitution	integral from 0 to 1 of x/(x^2+1) with respect to x	$\int_{0}^{1} \frac{x}{x^{2} + 1} d x$