# Recent questions tagged college calculus

Find the integral

$\int x^3 \sqrt{9-x^2} dx$

Consider the function.

$f(x) = \frac{ln x}{x}$ , 0<x<e2

Find x where f'(x)=0

Find the volume of the solid obtained.

The region enclosed between the curves $y=\sqrt{x}e^x$ and $y=e\sqrt{x}$ is rotated $2\pi$ around the x axis.

Evaluate the integral.

$\int_{0}^{2} (2x+1)dx$

Evaluate the integral.

$\int_{0}^{5} x^2 - 5x dx$

Evaluate the indefinite integral.

$\int cos(2x) \cdot e^{-x}dx$

Evaluate the indefinite integral.

$\int ln(x+3) dx$

Evaluate the indefinite integral.

$\int x^2e^{5x}dx$

Evaluate the indefinite Integ

$\int \frac{x^2}{e^{2x}}dx$

Evaluate the indefinite integral.

$\int x^2 cos(3x)dx$

Evaluate the indefinite integral.

$\int xe^{-x}dx$

Integrate the following.

$\int x^2 cos x dx$

Find the area of the region above the x-axis and beneath one arch of the graph of

$y = \frac{1}{2} + \sin x$

$g(t) = \frac{ln t}{e^t}$,