Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5301	Evaluate the Integral	integral of e^(6x-5) with respect to x	$\int e^{6 x - 5} d x$
5302	Evaluate the Integral	integral of e^(5x)cos(3x) with respect to x	$\int e^{5 x} \cos (3 x) d x$
5303	Evaluate the Integral	integral of e^x*sin(x) with respect to x	$\int e^{x} \cdot \sin (x) d x$
5304	Evaluate the Integral	integral of e^(-st) with respect to t	$\int e^{- s t} d t$
5305	Evaluate the Integral	integral of e^(ax)sin(bx) with respect to x	$\int e^{a x} \sin (b x) d x$
5306	Evaluate the Integral	integral of e^(-9x) with respect to x	$\int e^{- 9 x} d x$
5307	Evaluate the Integral	integral from pi/3 to 2pi of 3cos(x)^2sin(x) with respect to x	$\int_{\frac{π}{3}}^{2 π} 3 \cos^{2} (x) \sin (x) d x$
5308	Evaluate the Integral	integral of ( natural log of y)/y with respect to y	$\int \frac{\ln (y)}{y} d y$
5309	Evaluate the Integral	integral from pi/2 to 2pi of xsin(x) with respect to x	$\int_{\frac{π}{2}}^{2 π} x \sin (x) d x$
5310	Evaluate the Integral	integral of ( natural log of natural log of x)/x with respect to x	$\int \frac{\ln (\ln (x))}{x} d x$
5311	Evaluate the Integral	integral of e^xsin(4x) with respect to x	$\int e^{x} \sin (4 x) d x$
5312	Evaluate the Integral	integral of e^(xy) with respect to y	$\int e^{x y} d y$
5313	Evaluate the Integral	integral of e^(12x) with respect to x	$\int e^{12 x} d x$
5314	Evaluate the Integral	integral of e^(-0.25x) with respect to x	$\int e^{- 0.25 x} d x$
5315	Evaluate the Integral	integral of e^(-0.5x) with respect to x	$\int e^{- 0.5 x} d x$
5316	Evaluate the Integral	integral of e^(-2y) with respect to y	$\int e^{- 2 y} d y$
5317	Evaluate the Integral	integral of e^( square root of 3x+9) with respect to x	$\int e^{\sqrt{3 x + 9}} d x$
5318	Evaluate the Integral	integral of cos(x)^4sin(x) with respect to x	$\int \cos^{4} (x) \sin (x) d x$
5319	Evaluate the Integral	integral of cot(2x)^3 with respect to x	$\int \cot^{3} (2 x) d x$
5320	Evaluate the Integral	integral of csc(x)^4cot(x)^6 with respect to x	$\int \csc^{4} (x) \cot^{6} (x) d x$
5321	Evaluate the Integral	integral of 1/(3x+1) with respect to xdx	$\int \frac{1}{3 x + 1} d x d x$
5322	Evaluate the Integral	integral of t^3 with respect to t	$\int t^{3} d t$
5323	Evaluate the Integral	integral of tan(x)^3sec(x)^3 with respect to x	$\int \tan^{3} (x) \sec^{3} (x) d x$
5324	Evaluate the Integral	integral of tan(x)^2sec(x) with respect to x	$\int \tan^{2} (x) \sec (x) d x$
5325	Evaluate the Integral	integral of sin(3x)^3cos(3x) with respect to x	$\int \sin^{3} (3 x) \cos (3 x) d x$
5326	Evaluate the Integral	integral of sin(x)^4cos(x)^2 with respect to x	$\int \sin^{4} (x) \cos^{2} (x) d x$
5327	Evaluate the Integral	integral of sin(x)^4cos(x)^5 with respect to x	$\int \sin^{4} (x) \cos^{5} (x) d x$
5328	Evaluate the Integral	integral of t/(t+1) with respect to t	$\int \frac{t}{t + 1} d t$
5329	Evaluate the Integral	integral of square root of 17 with respect to x	$\int \sqrt{17} d x$
5330	Evaluate the Integral	integral of square root of 1+4x^4(16x^3) with respect to x	$\int \sqrt{1 + 4 x^{4}} (16 x^{3}) d x$
5331	Evaluate the Integral	integral of u^4 with respect to u	$\int u^{4} d u$
5332	Evaluate the Integral	integral of tan(x)^5sec(x)^7 with respect to x	$\int \tan^{5} (x) \sec^{7} (x) d x$
5333	Evaluate the Integral	integral of sec(x)^5tan(x)^3 with respect to x	$\int \sec^{5} (x) \tan^{3} (x) d x$
5334	Evaluate the Integral	integral of sec(5x)^4 with respect to x	$\int \sec^{4} (5 x) d x$
5335	Evaluate the Integral	integral of sin(x)^3cos(x)^3 with respect to x	$\int \sin^{3} (x) \cos^{3} (x) d x$
5336	Evaluate the Integral	integral of sin(x)^6cos(x) with respect to x	$\int \sin^{6} (x) \cos (x) d x$
5337	Evaluate the Integral	integral of sin(5x)^2 with respect to x	$\int \sin^{2} (5 x) d x$
5338	Evaluate the Integral	integral of sin(x)^2cos(x)^5 with respect to x	$\int \sin^{2} (x) \cos^{5} (x) d x$
5339	Evaluate the Integral	integral from pi/4 to pi/2 of (cos(x))/(sin(x)) with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{2}} \frac{\cos (x)}{\sin (x)} d x$
5340	Evaluate the Integral	integral of (3x^2-10)/(x^2-4x+4) with respect to x	$\int \frac{3 x^{2} - 10}{x^{2} - 4 x + 4} d x$
5341	Evaluate the Integral	integral of (3x^4-6)/(x^2) with respect to x	$\int \frac{3 x^{4} - 6}{x^{2}} d x$
5342	Evaluate the Integral	integral of (2x natural log of x^2+1)/(x^2+1) with respect to x	$\int \frac{2 x \ln (x^{2} + 1)}{x^{2} + 1} d x$
5343	Evaluate the Integral	integral of (28x)/( square root of x) with respect to x	$\int \frac{28 x}{\sqrt{x}} d x$
5344	Evaluate the Integral	integral of 3/(x^4) with respect to x	$\int \frac{3}{x^{4}} d x$
5345	Evaluate the Integral	integral of 3/(x^5) with respect to x	$\int \frac{3}{x^{5}} d x$
5346	Evaluate the Integral	integral of (27t^3-1)/( cube root of t) with respect to t	$\int \frac{27 t^{3} - 1}{\sqrt[3]{t}} d t$
5347	Evaluate the Integral	integral of 2/3 with respect to x	$\int \frac{2}{3} d x$
5348	Evaluate the Integral	integral of (14y^3)/3 with respect to y	$\int \frac{14 y^{3}}{3} d y$
5349	Evaluate the Integral	integral of 15/(25+x^2) with respect to xdx	$\int \frac{15}{25 + x^{2}} d x d x$
5350	Evaluate the Integral	integral of (1+ natural log of x)/x with respect to x	$\int \frac{1 + \ln (x)}{x} d x$
5351	Evaluate the Integral	integral of (-10x)/(1+x^4) with respect to x	$\int \frac{- 10 x}{1 + x^{4}} d x$
5352	Evaluate the Integral	integral of (cos(x))/(1-sin(x)) with respect to x	$\int \frac{\cos (x)}{1 - \sin (x)} d x$
5353	Evaluate the Integral	integral of (cos(x))/(sin(x)^6) with respect to x	$\int \frac{\cos (x)}{\sin^{6} (x)} d x$
5354	Evaluate the Integral	integral of 8/((4x^2+1)^2) with respect to x	$\int \frac{8}{{(4 x^{2} + 1)}^{2}} d x$
5355	Evaluate the Integral	integral of (8x+3)/((8x^2+6x)^4) with respect to x	$\int \frac{8 x + 3}{{(8 x^{2} + 6 x)}^{4}} d x$
5356	Evaluate the Integral	integral of 7/z with respect to z	$\int \frac{7}{z} d z$
5357	Evaluate the Integral	integral of 7/( fifth root of x^4) with respect to x	$\int \frac{7}{\sqrt[5]{x^{4}}} d x$
5358	Evaluate the Integral	integral of 4/(2x+1) with respect to x	$\int \frac{4}{2 x + 1} d x$
5359	Evaluate the Integral	integral of (4x+7)/((6x^2+21x)^4) with respect to x	$\int \frac{4 x + 7}{{(6 x^{2} + 21 x)}^{4}} d x$
5360	Evaluate the Integral	integral of (x^3+x)/x with respect to x	$\int \frac{x^{3} + x}{x} d x$
5361	Evaluate the Integral	integral of (x^3)/( square root of x^2+9) with respect to x	$\int \frac{x^{3}}{\sqrt{x^{2} + 9}} d x$
5362	Evaluate the Integral	integral of (x^4+8)/(x^3) with respect to x	$\int \frac{x^{4} + 8}{x^{3}} d x$
5363	Evaluate the Integral	integral of (x^4+x-4)/(x^2+2) with respect to x	$\int \frac{x^{4} + x - 4}{x^{2} + 2} d x$
5364	Evaluate the Integral	integral of (x^4-x^3)/(x^2) with respect to x	$\int \frac{x^{4} - x^{3}}{x^{2}} d x$
5365	Evaluate the Integral	integral of (x^3-3x^2+4x-9)/(x^2+3) with respect to x	$\int \frac{x^{3} - 3 x^{2} + 4 x - 9}{x^{2} + 3} d x$
5366	Evaluate the Integral	integral of (1-y^2)/(3y) with respect to y	$\int \frac{1 - y^{2}}{3 y} d y$
5367	Evaluate the Integral	integral of (x^2-9)/(x+3) with respect to x	$\int \frac{x^{2} - 9}{x + 3} d x$
5368	Evaluate the Integral	integral of (x^2-2x)/(x^3-3x^2) with respect to x	$\int \frac{x^{2} - 2 x}{x^{3} - 3 x^{2}} d x$
5369	Evaluate the Integral	integral of (x^2)/(9+x^6) with respect to x	$\int \frac{x^{2}}{9 + x^{6}} d x$
5370	Evaluate the Integral	integral of (x^2)/((4-x^2)^(3/2)) with respect to x	$\int \frac{x^{2}}{{(4 - x^{2})}^{\frac{3}{2}}} d x$
5371	Evaluate the Integral	integral of (x^2)/( square root of 4-x^2) with respect to x	$\int \frac{x^{2}}{\sqrt{4 - x^{2}}} d x$
5372	Evaluate the Integral	integral of (sin(x)^2)/(cos(x)^3) with respect to x	$\int \frac{\sin^{2} (x)}{\cos^{3} (x)} d x$
5373	Evaluate the Integral	integral of (t^2)/((t^3-2)^5) with respect to t	$\int \frac{t^{2}}{{(t^{3} - 2)}^{5}} d t$
5374	Evaluate the Integral	integral of ( square root of x^2-9)/(x^3) with respect to x	$\int \frac{\sqrt{x^{2} - 9}}{x^{3}} d x$
5375	Evaluate the Integral	integral of (u^3+u)/u with respect to u	$\int \frac{u^{3} + u}{u} d u$
5376	Evaluate the Integral	integral of ( square root of 25-x^2)/x with respect to x	$\int \frac{\sqrt{25 - x^{2}}}{x} d x$
5377	Evaluate the Integral	integral of ( square root of 1+x^2)/x with respect to x	$\int \frac{\sqrt{1 + x^{2}}}{x} d x$
5378	Evaluate the Integral	integral of ( square root of x+1)/( cube root of x) with respect to x	$\int \frac{\sqrt{x} + 1}{\sqrt[3]{x}} d x$
5379	Evaluate the Integral	integral of 1/( square root of x-x^2) with respect to x	$\int \frac{1}{\sqrt{x - x^{2}}} d x$
5380	Evaluate the Integral	integral of 1/(cos(x)^3) with respect to x	$\int \frac{1}{\cos^{3} (x)} d x$
5381	Evaluate the Integral	integral of 1/(e^y) with respect to y	$\int \frac{1}{e^{y}} d y$
5382	Evaluate the Integral	integral of 1/(x^2 square root of 9-x^2) with respect to x	$\int \frac{1}{x^{2} \sqrt{9 - x^{2}}} d x$
5383	Evaluate the Integral	integral of 1/(x^2-16) with respect to x	$\int \frac{1}{x^{2} - 16} d x$
5384	Evaluate the Integral	integral of 1/(x^2 square root of 16-x^2) with respect to x	$\int \frac{1}{x^{2} \sqrt{16 - x^{2}}} d x$
5385	Evaluate the Integral	integral of 1/(x^2-6x+5) with respect to x	$\int \frac{1}{x^{2} - 6 x + 5} d x$
5386	Evaluate the Integral	integral of 1/(x^3 square root of x^2-1) with respect to x	$\int \frac{1}{x^{3} \sqrt{x^{2} - 1}} d x$
5387	Evaluate the Integral	integral of 1/(1+ square root of 2x) with respect to x	$\int \frac{1}{1 + \sqrt{2 x}} d x$
5388	Evaluate the Integral	integral of 1/(12x^7) with respect to x	$\int \frac{1}{12 x^{7}} d x$
5389	Evaluate the Integral	integral of 1/(1-cos(x)) with respect to x	$\int \frac{1}{1 - \cos (x)} d x$
5390	Evaluate the Integral	integral of 1/(7x^7) with respect to x	$\int \frac{1}{7 x^{7}} d x$
5391	Evaluate the Integral	integral of 1/(7x-2) with respect to x	$\int \frac{1}{7 x - 2} d x$
5392	Evaluate the Integral	integral of 1/(9+4x^2) with respect to x	$\int \frac{1}{9 + 4 x^{2}} d x$
5393	Evaluate the Integral	integral of 1/(cos(2x)) with respect to x	$\int \frac{1}{\cos (2 x)} d x$
5394	Evaluate the Integral	integral of 1/(x(x^2+1)) with respect to x	$\int \frac{1}{x (x^{2} + 1)} d x$
5395	Evaluate the Integral	integral of 1/(x-5) with respect to x	$\int \frac{1}{x - 5} d x$
5396	Evaluate the Integral	integral of 1/(x-x^2) with respect to x	$\int \frac{1}{x - x^{2}} d x$
5397	Evaluate the Integral	integral of 1/(x natural log of (x)^3) with respect to x	$\int \frac{1}{x \ln ({(x)}^{3})} d x$
5398	Evaluate the Integral	integral of 1/(5x^7) with respect to x	$\int \frac{1}{5 x^{7}} d x$
5399	Evaluate the Integral	integral of 1/(4y) with respect to y	$\int \frac{1}{4 y} d y$
5400	Evaluate the Integral	integral of 1/4x^4 with respect to x	$\int \frac{1}{4} x^{4} d x$