Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
85601	Integrate Using u-Substitution	integral of x^3 square root of x^2+3 with respect to x	$\int x^{3} \sqrt{x^{2} + 3} d x$
85602	Integrate Using u-Substitution	integral of (sin( square root of x))/( square root of x) with respect to x	$\int \frac{\sin (\sqrt{x})}{\sqrt{x}} d x$
85603	Integrate Using u-Substitution	integral of ( square root of 2-3x^2)x with respect to x	$\int (\sqrt{2} - 3 x^{2}) x d x$
85604	Integrate Using u-Substitution	integral of square root of x+1 with respect to x	$\int \sqrt{x + 1} d x$
85605	Integrate Using u-Substitution	integral of (e^(arcsin(x)))/( square root of 1-x^2) with respect to x	$\int \frac{e^{\arcsin (x)}}{\sqrt{1 - x^{2}}} d x$
85606	Integrate Using u-Substitution	integral of (x^2-3x+2)/(x+1) with respect to x	$\int \frac{x^{2} - 3 x + 2}{x + 1} d x$
85607	Integrate Using u-Substitution	integral of 2xcos(x^2) with respect to x	$\int 2 x \cos (x^{2}) d x$
85608	Integrate Using u-Substitution	integral of tan(2x) with respect to x	$\int \tan (2 x) d x$
85609	Integrate Using u-Substitution	integral of (( square root of x-1)^2)/( square root of x) with respect to x	$\int \frac{{(\sqrt{x} - 1)}^{2}}{\sqrt{x}} d x$
85610	Integrate Using u-Substitution	integral of 3x^2 square root of x^3+1 with respect to x	$\int 3 x^{2} \sqrt{x^{3} + 1} d x$
85611	Integrate Using u-Substitution	integral of sec(x)^4 with respect to x	$\int \sec^{4} (x) d x$
85612	Integrate Using u-Substitution	integral of x^2 square root of x^3+1 with respect to x	$\int x^{2} \sqrt{x^{3} + 1} d x$
85613	Integrate Using u-Substitution	integral of xe^x with respect to x	$\int x e^{x} d x$
85614	Integrate Using u-Substitution	integral of xsec(x)^2 with respect to x	$\int x \sec^{2} (x) d x$
85615	Integrate Using u-Substitution	integral of 1/(x square root of x^4-4) with respect to x	$\int \frac{1}{x \sqrt{x^{4} - 4}} d x$
85616	Integrate Using u-Substitution	integral of 5/((1-x)^2) with respect to x	$\int \frac{5}{{(1 - x)}^{2}} d x$
85617	Integrate Using u-Substitution	integral of (x^2)/(x+1) with respect to x	$\int \frac{x^{2}}{x + 1} d x$
85618	Integrate Using u-Substitution	integral of 2x(x^2+1)^4 with respect to x	$\int 2 x {(x^{2} + 1)}^{4} d x$
85619	Integrate Using u-Substitution	integral of e^xcos(x) with respect to x	$\int e^{x} \cos (x) d x$
85620	Integrate Using u-Substitution	integral of x/( cube root of 1-2x^2) with respect to x	$\int \frac{x}{\sqrt[3]{1 - 2 x^{2}}} d x$
85621	Integrate Using u-Substitution	integral of (sin(x))/((4-cos(x))^3) with respect to x	$\int \frac{\sin (x)}{{(4 - \cos (x))}^{3}} d x$
85622	Integrate Using u-Substitution	integral of 5(3-4x)^(2/3) with respect to x	$\int 5 {(3 - 4 x)}^{\frac{2}{3}} d x$
85623	Integrate Using u-Substitution	integral of x/(1+x^2) with respect to x	$\int \frac{x}{1 + x^{2}} d x$
85624	Integrate Using u-Substitution	integral of csc(x/2)^2 with respect to x	$\int \csc^{2} (\frac{x}{2}) d x$
85625	Integrate Using u-Substitution	integral of (sin(1/x))/(x^2) with respect to x	$\int \frac{\sin (\frac{1}{x})}{x^{2}} d x$
85626	Integrate Using u-Substitution	integral of (x^2-4)/x with respect to x	$\int \frac{x^{2} - 4}{x} d x$
85627	Integrate Using u-Substitution	integral of (x^2)/(x^2+1) with respect to x	$\int \frac{x^{2}}{x^{2} + 1} d x$
85628	Integrate Using u-Substitution	integral of xsec(x^2)^2 with respect to x	$\int x \sec^{2} (x^{2}) d x$
85629	Integrate Using u-Substitution	integral of sin(x)^3cos(x)^2 with respect to x	$\int \sin^{3} (x) \cos^{2} (x) d x$
85630	Integrate Using u-Substitution	integral of (x^3)/( square root of x^2+1) with respect to x	$\int \frac{x^{3}}{\sqrt{x^{2} + 1}} d x$
85631	Integrate Using u-Substitution	integral of -cos(2x-5) with respect to x	$\int - \cos (2 x - 5) d x$
85632	Integrate Using u-Substitution	integral of x/( square root of x^2+1) with respect to x	$\int \frac{x}{\sqrt{x^{2} + 1}} d x$
85633	Integrate Using u-Substitution	integral of arcsin(x) with respect to x	$\int \arcsin (x) d x$
85634	Integrate Using u-Substitution	integral of 1/(x+1) with respect to x	$\int \frac{1}{x + 1} d x$
85635	Integrate Using u-Substitution	integral of sin( natural log of x) with respect to x	$\int \sin (\ln (x)) d x$
85636	Integrate Using u-Substitution	integral from 0 to 1 of x/(1+x^2) with respect to x	$\int_{0}^{1} \frac{x}{1 + x^{2}} d x$
85637	Integrate Using u-Substitution	integral of (-12x-1) square root of -6x^2-x+1 with respect to x	$\int (- 12 x - 1) \sqrt{- 6 x^{2} - x + 1} d x$
85638	Integrate Using u-Substitution	integral of 2x square root of 1+x^2 with respect to x	$\int 2 x \sqrt{1 + x^{2}} d x$
85639	Integrate Using u-Substitution	integral of 1/(2 square root of x) with respect to x	$\int \frac{1}{2 \sqrt{x}} d x$
85640	Integrate Using u-Substitution	integral of ((4+e^x)^2)/(e^x) with respect to x	$\int \frac{{(4 + e^{x})}^{2}}{e^{x}} d x$
85641	Integrate Using u-Substitution	integral of cos(y/2)^6 with respect to y	$\int \cos^{6} (\frac{y}{2}) d y$
85642	Integrate Using u-Substitution	integral of (x^2+1)(x^3+3x)^4 with respect to x	$\int (x^{2} + 1) {(x^{3} + 3 x)}^{4} d x$
85643	Integrate Using u-Substitution	integral of square root of 1+x^2 with respect to x	$\int \sqrt{1 + x^{2}} d x$
85644	Integrate Using u-Substitution	integral of (e^(2x))/(1+e^(2x)) with respect to x	$\int \frac{e^{2 x}}{1 + e^{2 x}} d x$
85645	Integrate Using u-Substitution	integral of x^2e^(3x) with respect to x	$\int x^{2} e^{3 x} d x$
85646	Integrate Using u-Substitution	integral of 5/(x^2) with respect to x	$\int \frac{5}{x^{2}} d x$
85647	Integrate Using u-Substitution	integral of 5x^3 square root of 1-x^2 with respect to x	$\int 5 x^{3} \sqrt{1 - x^{2}} d x$
85648	Integrate Using u-Substitution	integral of (e^x)/(1+e^x) with respect to x	$\int \frac{e^{x}}{1 + e^{x}} d x$
85649	Integrate Using u-Substitution	integral of sin(x)^2cos(x)^2 with respect to x	$\int \sin^{2} (x) \cos^{2} (x) d x$
85650	Integrate Using u-Substitution	integral of 3(3x-1)^4 with respect to x	$\int 3 {(3 x - 1)}^{4} d x$
85651	Integrate Using u-Substitution	integral of (4x^3-9x^2+16x) square root of x^4-3x^3+8x^2 with respect to x	$\int (4 x^{3} - 9 x^{2} + 16 x) \sqrt{x^{4} - 3 x^{3} + 8 x^{2}} d x$
85652	Integrate Using u-Substitution	integral of (x^2+1)/( square root of x^3+3x) with respect to x	$\int \frac{x^{2} + 1}{\sqrt{x^{3} + 3 x}} d x$
85653	Integrate Using u-Substitution	integral of x^2sec(x^3)^2 with respect to x	$\int x^{2} \sec^{2} (x^{3}) d x$
85654	Integrate Using u-Substitution	integral from 0 to 1 of (x+2)(3x^2+12x+1)^(1/2) with respect to x	$\int_{0}^{1} (x + 2) {(3 x^{2} + 12 x + 1)}^{\frac{1}{2}} d x$
85655	Integrate Using u-Substitution	integral of (x^2-3x-5)/x with respect to x	$\int \frac{x^{2} - 3 x - 5}{x} d x$
85656	Integrate Using u-Substitution	integral of cos( square root of x) with respect to x	$\int \cos (\sqrt{x}) d x$
85657	Integrate Using u-Substitution	integral of (xsin( square root of x^2+4))/( square root of x^2+4) with respect to x	$\int \frac{x \sin (\sqrt{x^{2} + 4})}{\sqrt{x^{2} + 4}} d x$
85658	Integrate Using u-Substitution	integral of (12x^2)/(2x+1) with respect to x	$\int \frac{12 x^{2}}{2 x + 1} d x$
85659	Integrate Using u-Substitution	integral of (12x^2)/(4x^3-6) with respect to x	$\int \frac{12 x^{2}}{4 x^{3} - 6} d x$
85660	Integrate Using u-Substitution	integral of x/( square root of 1+x^2) with respect to x	$\int \frac{x}{\sqrt{1 + x^{2}}} d x$
85661	Integrate Using u-Substitution	integral of e^xsin(x) with respect to x	$\int e^{x} \sin (x) d x$
85662	Integrate Using u-Substitution	integral from -1 to 1 of (v^2-1)^3 with respect to v	$\int_{- 1}^{1} {(v^{2} - 1)}^{3} d v$
85663	Integrate Using u-Substitution	integral of ( natural log of x)/(x^2) with respect to x	$\int \frac{\ln (x)}{x^{2}} d x$
85664	Integrate Using u-Substitution	integral of (x^2)/((16-x^3)^2) with respect to x	$\int \frac{x^{2}}{{(16 - x^{3})}^{2}} d x$
85665	Integrate Using u-Substitution	integral of x^3e^(x^4) with respect to x	$\int x^{3} e^{x^{4}} d x$
85666	Integrate Using u-Substitution	integral of 3(sin(x))^-2 with respect to x	$\int 3 \sin^{- 2} (x) d x$
85667	Integrate Using u-Substitution	integral of (x^3)/( square root of 1-x^2) with respect to x	$\int \frac{x^{3}}{\sqrt{1 - x^{2}}} d x$
85668	Integrate Using u-Substitution	integral of e^x square root of 1-e^x with respect to x	$\int e^{x} \sqrt{1 - e^{x}} d x$
85669	Integrate Using u-Substitution	integral of (x^2)/(e^(x^3)) with respect to x	$\int \frac{x^{2}}{e^{x^{3}}} d x$
85670	Integrate Using u-Substitution	integral of 1/(e^x) with respect to x	$\int \frac{1}{e^{x}} d x$
85671	Integrate Using u-Substitution	integral from 0 to 1 of x^3(2x^4+1)^2 with respect to x	$\int_{0}^{1} x^{3} {(2 x^{4} + 1)}^{2} d x$
85672	Integrate Using u-Substitution	integral of (x+1)^2 with respect to x	$\int {(x + 1)}^{2} d x$
85673	Integrate Using u-Substitution	integral of xtan(x^2) with respect to x	$\int x \tan (x^{2}) d x$
85674	Integrate Using u-Substitution	integral of x(2x^2+3)^10 with respect to x	$\int x {(2 x^{2} + 3)}^{10} d x$
85675	Integrate Using u-Substitution	integral of x^2-x+x^-1 with respect to x	$\int x^{2} - x + x^{- 1} d x$
85676	Integrate Using u-Substitution	integral of x^4 with respect to x	$\int x^{4} d x$
85677	Integrate Using u-Substitution	integral of 3x^2 square root of x^3+2 with respect to x	$\int 3 x^{2} \sqrt{x^{3} + 2} d x$
85678	Integrate Using u-Substitution	integral of e^(-x)tan(e^(-x)) with respect to x	$\int e^{- x} \tan (e^{- x}) d x$
85679	Integrate Using u-Substitution	integral from 0 to 1 of (r^3)/( square root of 16+r^2) with respect to r	$\int_{0}^{1} \frac{r^{3}}{\sqrt{16 + r^{2}}} d r$
85680	Integrate Using u-Substitution	2/3 integral of square root of 4-3/5x with respect to x	$\frac{2}{3} \int \sqrt{4 - \frac{3}{5} x} d x$
85681	Integrate Using u-Substitution	integral from -2 to 4 of x^2(x^3+8)^2 with respect to x	$\int_{- 2}^{4} x^{2} {(x^{3} + 8)}^{2} d x$
85682	Integrate Using u-Substitution	integral from 0 to 1 of e^(-4x) with respect to x	$\int_{0}^{1} e^{- 4 x} d x$
85683	Integrate Using u-Substitution	integral of square root of 2-3x with respect to x	$\int \sqrt{2 - 3 x} d x$
85684	Integrate Using u-Substitution	integral of 1/3sec(8x)^2 with respect to x	$\int \frac{1}{3} \sec^{2} (8 x) d x$
85685	Integrate Using u-Substitution	integral of 5x square root of 2x+3 with respect to x	$\int 5 x \sqrt{2 x + 3} d x$
85686	Integrate Using u-Substitution	integral of (x^3)/(1+x^4) with respect to x	$\int \frac{x^{3}}{1 + x^{4}} d x$
85687	Integrate Using u-Substitution	integral of arctan(x) with respect to x	$\int \arctan (x) d x$
85688	Integrate Using u-Substitution	integral of (x^3)/(x^2+1) with respect to x	$\int \frac{x^{3}}{x^{2} + 1} d x$
85689	Integrate Using u-Substitution	integral of cube root of 6x+1 with respect to x	$\int \sqrt[3]{6 x + 1} d x$
85690	Integrate Using u-Substitution	integral from 0 to 10 of 4x^2+7 with respect to x	$\int_{0}^{10} 4 x^{2} + 7 d x$
85691	Integrate Using u-Substitution	integral of (x^3)/(5-1/2x^4) with respect to x	$\int \frac{x^{3}}{5 - \frac{1}{2} x^{4}} d x$
85692	Integrate Using u-Substitution	integral from 1 to 3 of (x^3-4x) with respect to x	$\int_{1}^{3} (x^{3} - 4 x) d x$
85693	Integrate Using u-Substitution	integral from 0 to 2 of x(x^2+1)^3 with respect to x	$\int_{0}^{2} x {(x^{2} + 1)}^{3} d x$
85694	Integrate Using u-Substitution	integral of sin(x)sin(cos(x)) with respect to x	$\int \sin (x) \sin (\cos (x)) d x$
85695	Integrate Using u-Substitution	integral of (x^3)/( square root of 1-2x^2) with respect to x	$\int \frac{x^{3}}{\sqrt{1 - 2 x^{2}}} d x$
85696	Integrate Using u-Substitution	integral from 0 to 1 of 5/(x^2+1) with respect to x	$\int_{0}^{1} \frac{5}{x^{2} + 1} d x$
85697	Integrate Using u-Substitution	integral of (x+2) square root of x-2 with respect to x	$\int (x + 2) \sqrt{x - 2} d x$
85698	Integrate Using u-Substitution	integral of cube root of x^2 with respect to x	$\int \sqrt[3]{x^{2}} d x$
85699	Integrate Using u-Substitution	integral of (2x^3-2)/(x^4-4x) with respect to x	$\int \frac{2 x^{3} - 2}{(x^{4} - 4 x)} d x$
85700	Integrate Using u-Substitution	integral of (-21x^2-4x)cos(-7x^3-2x^2-2) with respect to x	$\int (- 21 x^{2} - 4 x) \cos (- 7 x^{3} - 2 x^{2} - 2) d x$