Step 1:

The integral is .

Use partial fraction method :

Substitute t = 12.

Substitute t = 0.

So .

Sum property of Integral :.

Integral of logarithm function is .

(2)

Step 1:

The integral is .

Use partial fraction method :

Consider denominator

Substitute .

Substitute .

So .

Sum property of Integral :.

Integral of logarithm function is .

(3)

Step 1:

The integral is .

Use partial fraction method :

Substitute .

Substitute .

So .

Sum property of Integral :.

Integral of logarithm function is .

.

(4)

Step 1:

The integral is .

Use partial fraction method :

Substitute .

Compare the coefficient of .

Compare the coefficient of .

So .

Sum property of Integral :.

Integral of logarithm function is .

Use the integral of inverse tangent function : .

.