Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27901	Evaluate the Integral	integral of t^2e^(2t) with respect to t	$\int t^{2} e^{2 t} d t$
27902	Evaluate the Integral	integral of t^4(4+t^5)^3 with respect to t	$\int t^{4} {(4 + t^{5})}^{3} d t$
27903	Evaluate the Integral	integral of tan(2x)^3sec(2x)^3 with respect to x	$\int \tan^{3} (2 x) \sec^{3} (2 x) d x$
27904	Evaluate the Integral	integral of tan(5x)^2 with respect to x	$\int \tan^{2} (5 x) d x$
27905	Evaluate the Integral	integral of tan(x)^9sec(x)^2 with respect to u	$\int \tan^{9} (x) \sec^{2} (x) d u$
27906	Evaluate the Integral	integral of t^6+e^(4t) with respect to t	$\int t^{6} + e^{4 t} d t$
27907	Evaluate the Integral	integral of tan(x)^10sec(x)^2 with respect to x	$\int \tan^{10} (x) \sec^{2} (x) d x$
27908	Evaluate the Integral	integral of sin(3x)^4cos(3x) with respect to x	$\int \sin^{4} (3 x) \cos (3 x) d x$
27909	Evaluate the Integral	integral of sin(x)^5*cos(x)^2 with respect to x	$\int \sin^{5} (x) \cdot \cos^{2} (x) d x$
27910	Evaluate the Integral	integral of sin(x)^6cos(x)^3 with respect to x	$\int \sin^{6} (x) \cos^{3} (x) d x$
27911	Evaluate the Integral	integral of sin(x)^9cos(x) with respect to x	$\int \sin^{9} (x) \cos (x) d x$
27912	Evaluate the Integral	integral of t^2(t-2/t) with respect to t	$\int t^{2} (t - \frac{2}{t}) d t$
27913	Evaluate the Integral	integral of t^2e^(-t^3) with respect to t	$\int t^{2} e^{- t^{3}} d t$
27914	Evaluate the Integral	integral of t^2e^(-t) with respect to t	$\int t^{2} e^{- t} d t$
27915	Evaluate the Integral	integral of sin(2x)^7cos(2x) with respect to x	$\int \sin^{7} (2 x) \cos (2 x) d x$
27916	Evaluate the Integral	integral of t/(t^2+2) with respect to t	$\int \frac{t}{t^{2} + 2} d t$
27917	Evaluate the Integral	integral of t/(t^4+25) with respect to t	$\int \frac{t}{t^{4} + 25} d t$
27918	Evaluate the Integral	integral of square root of x^2+10x with respect to x	$\int \sqrt{x^{2} + 10 x} d x$
27919	Evaluate the Integral	integral of square root of x^2-49 with respect to x	$\int \sqrt{x^{2} - 49} d x$
27920	Evaluate the Integral	integral of square root of x^2-25 with respect to x	$\int \sqrt{x^{2} - 25} d x$
27921	Evaluate the Integral	integral of square root of x^7sin(8+x^(9/2)) with respect to x	$\int \sqrt{x^{7}} \sin (8 + x^{\frac{9}{2}}) d x$
27922	Evaluate the Integral	integral of square root of (x-1)/(x^5) with respect to x	$\int \sqrt{\frac{x - 1}{x^{5}}} d x$
27923	Evaluate the Integral	integral of square root of 1-(k/(x-c))^2 with respect to x	$\int \sqrt{1 - {(\frac{k}{x - c})}^{2}} d x$
27924	Evaluate the Integral	integral of square root of 1-y^2 with respect to y	$\int \sqrt{1 - y^{2}} d y$
27925	Evaluate the Integral	integral of square root of 1-49x^2 with respect to x	$\int \sqrt{1 - 49 x^{2}} d x$
27926	Evaluate the Integral	integral of square root of 100-x^2 with respect to x	$\int \sqrt{100 - x^{2}} d x$
27927	Evaluate the Integral	integral of square root of 15 with respect to x	$\int \sqrt{15} d x$
27928	Evaluate the Integral	integral of square root of 1+9/4x with respect to x	$\int \sqrt{1 + \frac{9}{4} x} d x$
27929	Evaluate the Integral	integral of square root of 1+u^2 with respect to u	$\int \sqrt{1 + u^{2}} d u$
27930	Evaluate the Integral	integral of u^(-1/2) with respect to u	$\int u^{- \frac{1}{2}} d u$
27931	Evaluate the Integral	integral of te^(-st) with respect to t	$\int t e^{- s t} d t$
27932	Evaluate the Integral	integral of u^(3/2) with respect to u	$\int u^{\frac{3}{2}} d u$
27933	Evaluate the Integral	integral of te^(3t) with respect to t	$\int t e^{3 t} d t$
27934	Evaluate the Integral	integral of u^6v(2+u^7) with respect to u	$\int u^{6} v (2 + u^{7}) d u$
27935	Evaluate the Integral	integral of te^(4t) with respect to t	$\int t e^{4 t} d t$
27936	Evaluate the Integral	integral of te^(-4t) with respect to t	$\int t e^{- 4 t} d t$
27937	Evaluate the Integral	integral of tan(x)^5sec(x)^4 with respect to x	$\int \tan^{5} (x) \sec^{4} (x) d x$
27938	Evaluate the Integral	integral of tan(x)^6sec(x)^4 with respect to x	$\int \tan^{6} (x) \sec^{4} (x) d x$
27939	Evaluate the Integral	integral of tan(x/2)^7sec(x/2)^2 with respect to x	$\int \tan^{7} (\frac{x}{2}) \sec^{2} (\frac{x}{2}) d x$
27940	Evaluate the Integral	integral of tan(x)^7 with respect to x	$\int \tan^{7} (x) d x$
27941	Evaluate the Integral	integral of square root of a^2+x^2 with respect to x	$\int \sqrt{a^{2} + x^{2}} d x$
27942	Evaluate the Integral	integral of square root of sec(x)^2-1 with respect to x	$\int \sqrt{\sec^{2} (x) - 1} d x$
27943	Evaluate the Integral	integral of square root of t^4+3t(4t^3+3) with respect to t	$\int \sqrt{t^{4} + 3 t} (4 t^{3} + 3) d t$
27944	Evaluate the Integral	integral of u^n with respect to u	$\int u^{n} d u$
27945	Evaluate the Integral	integral of v(4-x^2) with respect to x	$\int v (4 - x^{2}) d x$
27946	Evaluate the Integral	integral of u^8 with respect to x	$\int u^{8} d x$
27947	Evaluate the Integral	integral of u^-5(2-u^5+u^10) with respect to u	$\int u^{- 5} (2 - u^{5} + u^{10}) d u$
27948	Evaluate the Integral	integral of square root of (x^3-3)/(x^11) with respect to x	$\int \sqrt{\frac{x^{3} - 3}{x^{11}}} d x$
27949	Evaluate the Integral	integral of square root of 10^(3x) with respect to x	$\int \sqrt{10^{3 x}} d x$
27950	Evaluate the Integral	integral of sec(x)^2-7 with respect to x	$\int \sec^{2} (x) - 7 d x$
27951	Evaluate the Integral	integral of sec(6x)^2 with respect to x	$\int \sec^{2} (6 x) d x$
27952	Evaluate the Integral	integral of sec(x)^2 natural log of e^(tan(x)) with respect to x	$\int \sec^{2} (x) \ln (e^{\tan (x)}) d x$
27953	Evaluate the Integral	integral of sec(5x)^3tan(5x)^3 with respect to x	$\int \sec^{3} (5 x) \tan^{3} (5 x) d x$
27954	Evaluate the Integral	integral of sec(7x)^2 with respect to x	$\int \sec^{2} (7 x) d x$
27955	Evaluate the Integral	integral of sec(u)^2 with respect to u	$\int \sec^{2} (u) d u$
27956	Evaluate the Integral	integral of sec(x)^4tan(x)^2 with respect to x	$\int \sec^{4} (x) \tan^{2} (x) d x$
27957	Evaluate the Integral	integral of sec(x)^4tan(x)^3 with respect to x	$\int \sec^{4} (x) \tan^{3} (x) d x$
27958	Evaluate the Integral	integral of sec(3x)^4 with respect to x	$\int \sec^{4} (3 x) d x$
27959	Evaluate the Integral	integral of sec(4x)^4 with respect to x	$\int \sec^{4} (4 x) d x$
27960	Evaluate the Integral	integral of sec(x)^5cot(x) with respect to x	$\int \sec^{5} (x) \cot (x) d x$
27961	Evaluate the Integral	integral of (sin(1/x))/(3x^2) with respect to x	$\int \frac{\sin (\frac{1}{x})}{3 x^{2}} d x$
27962	Evaluate the Integral	integral of sec(t)^3 with respect to t	$\int \sec^{3} (t) d t$
27963	Evaluate the Integral	integral of (sin(2theta+1))/(cos(2theta+1)^2) with respect to theta	$\int \frac{\sin (2 θ + 1)}{\cos^{2} (2 θ + 1)} d θ$
27964	Evaluate the Integral	integral of (sin(2t+1))/(cos(2t+1)^2) with respect to t	$\int \frac{\sin (2 t + 1)}{\cos^{2} (2 t + 1)} d t$
27965	Evaluate the Integral	integral of (sin(2x))/( square root of 1-cos(2x)) with respect to x	$\int \frac{\sin (2 x)}{\sqrt{1 - \cos (2 x)}} d x$
27966	Evaluate the Integral	integral of sin(4x)^3cos(4x)^5 with respect to x	$\int \sin^{3} (4 x) \cos^{5} (4 x) d x$
27967	Evaluate the Integral	integral of (sin( natural log of 4x))/x with respect to x	$\int \frac{\sin (\ln (4 x))}{x} d x$
27968	Evaluate the Integral	integral of (sin(2x))/(4+cos(2x)) with respect to x	$\int \frac{\sin (2 x)}{4 + \cos (2 x)} d x$
27969	Evaluate the Integral	integral of (sin(2x))/(cos(2x)) with respect to x	$\int \frac{\sin (2 x)}{\cos (2 x)} d x$
27970	Evaluate the Integral	integral of (sin(x))/(sin(x)+cos(x)) with respect to x	$\int \frac{\sin (x)}{\sin (x) + \cos (x)} d x$
27971	Evaluate the Integral	integral of (sin( natural log of 5x))/x with respect to x	$\int \frac{\sin (\ln (5 x))}{x} d x$
27972	Evaluate the Integral	integral of (sin(pix))/pi with respect to x	$\int \frac{\sin (π x)}{π} d x$
27973	Evaluate the Integral	integral of arcsin(y) with respect to y	$\int \arcsin (y) d y$
27974	Evaluate the Integral	integral of sin(x)^7 with respect to x	$\int \sin^{7} (x) d x$
27975	Evaluate the Integral	integral of (sin(y))/(cos(y)^2) with respect to y	$\int \frac{\sin (y)}{\cos^{2} (y)} d y$
27976	Evaluate the Integral	integral of sin(2x)^2cos(2x)^2 with respect to x	$\int \sin^{2} (2 x) \cos^{2} (2 x) d x$
27977	Evaluate the Integral	integral of sin(4x)^2cos(4x)^3 with respect to x	$\int \sin^{2} (4 x) \cos^{3} (4 x) d x$
27978	Evaluate the Integral	integral of sin(pix)^2 with respect to x	$\int \sin^{2} (π x) d x$
27979	Evaluate the Integral	integral of sin(x)^2tan(x) with respect to x	$\int \sin^{2} (x) \tan (x) d x$
27980	Evaluate the Integral	integral from pi/6 to pi/2 of cos(x) natural log of sin(x) with respect to x	$\int_{\frac{π}{6}}^{\frac{π}{2}} \cos (x) \ln (\sin (x)) d x$
27981	Evaluate the Integral	integral from pi/6 to pi/4 of 2sin(2x)cos(2x) with respect to x	$\int_{\frac{π}{6}}^{\frac{π}{4}} 2 \sin (2 x) \cos (2 x) d x$
27982	Evaluate the Integral	integral from -pi/4 to pi/4 of 2tan(x)sec(x)^2 with respect to x	$\int_{- \frac{π}{4}}^{\frac{π}{4}} 2 \tan (x) \sec^{2} (x) d x$
27983	Evaluate the Integral	integral from pi/6 to pi/2 of natural log of sin(x) with respect to x	$\int_{\frac{π}{6}}^{\frac{π}{2}} \ln (\sin (x)) d x$
27984	Evaluate the Integral	integral from pi/6 to pi/2 of sin(2x)-cos(x) with respect to x	$\int_{\frac{π}{6}}^{\frac{π}{2}} \sin (2 x) - \cos (x) d x$
27985	Evaluate the Integral	integral from pi/4 to pi of \|cos(x)\| with respect to x	$\int_{\frac{π}{4}}^{π} \| \cos (x) \| d x$
27986	Evaluate the Integral	integral from -pi/4 to pi/4 of sec(x)^2 with respect to x	$\int_{- \frac{π}{4}}^{\frac{π}{4}} \sec^{2} (x) d x$
27987	Evaluate the Integral	integral from -pi/4 to pi/4 of cos(x) with respect to x	$\int_{- \frac{π}{4}}^{\frac{π}{4}} \cos (x) d x$
27988	Evaluate the Integral	integral from pi/4 to pi/3 of sin(x)-tan(x) with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{3}} \sin (x) - \tan (x) d x$
27989	Evaluate the Integral	integral from pi/4 to pi/3 of (sec(x)^2)/(tan(x)) with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{3}} \frac{\sec^{2} (x)}{\tan (x)} d x$
27990	Evaluate the Integral	integral from 0 to 1 of (3tan(x)) with respect to x	$\int_{0}^{1} (3 \tan (x)) d x$
27991	Evaluate the Integral	integral from pi/4 to pi/3 of xcos(4x) with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{3}} x \cos (4 x) d x$
27992	Evaluate the Integral	integral from pi/4 to pi/2 of cot(x)^3 with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{2}} \cot^{3} (x) d x$
27993	Evaluate the Integral	integral from pi/4 to (5pi)/4 of sin(x)-cos(x) with respect to x	$\int_{\frac{π}{4}}^{\frac{5 π}{4}} \sin (x) - \cos (x) d x$
27994	Evaluate the Integral	integral from pi/4 to (3pi)/4 of csc(x)cot(x) with respect to x	$\int_{\frac{π}{4}}^{\frac{3 π}{4}} \csc (x) \cot (x) d x$
27995	Evaluate the Integral	integral from (-pi)/4 to (3pi)/4 of 2sec(x)tan(x) with respect to x	$\int_{\frac{- π}{4}}^{\frac{3 π}{4}} 2 \sec (x) \tan (x) d x$
27996	Evaluate the Integral	integral from pi/4 to (3pi)/4 of -8csc(x)^2 with respect to x	$\int_{\frac{π}{4}}^{\frac{3 π}{4}} - 8 \csc^{2} (x) d x$
27997	Evaluate the Integral	integral from pi/4 to pi/2 of (cos(x))/(sin(x)^2) with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{2}} \frac{\cos (x)}{\sin^{2} (x)} d x$
27998	Evaluate the Integral	integral of re^(1/2) with respect to r	$\int r e^{\frac{1}{2}} d r$
27999	Evaluate the Integral	integral of (sec(x))/(cot(x)) with respect to x	$\int \frac{\sec (x)}{\cot (x)} d x$
28000	Evaluate the Integral	integral of (sec( natural log of x))/x with respect to x	$\int \frac{\sec (\ln (x))}{x} d x$