5)

Step 1:

The integral is .

Consider .

Differentiate on each side with respect to .

Substitue and in the integral.

Integral formula: . 

.

Replace in above expression.

.

Solution:

.

6)

The integral is .

Property of the integral:.

Consider the integral .

Assume .

Differentiate on each side with respect to .

Substitue and in the integral.

Integral formula: . 

Replace in above expression.

.

Consider the integral .

Assume .

Differentiate on each side with respect to .

Substitue and in the integral.

Power rule of integration: .

.

Replace in above expression.

.

Substitute the results of in .

Solution:

.