Problems

01

Somewhat odd power product

Compute the integral:

$$\int {\sin }^{2}x\cdot {\cos }^{3}xdx$$

02

Tangent and secant both even

Compute the integral:

$$\int {\tan }^{2}x\cdot {\sec }^{2}xdx$$

03

All even power product

Compute the integral:

$$\int {\sin }^{4}x\cdot {\cos }^{2}xdx$$

04

All odd power product

Compute the integral:

$$\int {\cos }^{7}xdx$$

05

Tangent and secant mixed parity

Compute the integral:

$$\int {\tan }^{3}x{\sec }^{2}xdx$$

(a) Using $du={\sec }^{2}xdx$.

(b) Using $du=\sec x\tan xdx$.

06

Power product with negative power

Compute the integral:

$$\int \sin 7x{\sec }^{5}7xdx$$