Question

Find or evaluate the integral. (Complete the square, if necessary.)

Answer 1

Step 1:

The integral is .

Take out the constant from the integral.

Let .

.

Differentiate with respect to .

Substitute , and in the integral.

Step 2:

Consider .

Assume .

Substitute and in .

Replace with .

Consider .

Recall the integral formula:

Substitute the results of equation (2) and equation(3) in equation (1).

Replace with .

Solution:

.