Calculus 2

$\displaystyle \int \frac{tan^3x}{sec^2x} \, dx$

The first-quadrant area is bounded by the curve $y^2 = 4x$, the x axis, and the line x = 4 is rotated about the y axis. Find the volume generated: (a) By the ring method (b) By the shell method

Evaluate $\int x^2 \, cos(x) \, dx$

Use the disk method to find the volume of the solid of rotation by rotating the bounded area around the y-axis

$y = 2x^2$, $y = 0$, $x = 2$

$\displaystyle \int tan^3x \, sec^3x \, dx$

Compute $\int xe^{5x}dx$ and $\displaystyle \int_{\pi/4}^{\pi/3} cos(x) ln(sin(x)) \, dx$

$\displaystyle \int cos^4(5x)\, dx$