Question

What is the integral of e^(2x)sin(3x)?

Answer 1

Step 1:

The integral is .

Find the integral using integration by parts.

Formula for integration by parts is:.

Here consider .

Substitute above values in the formula.

Step 2:

Consider

Assume .

Find the integral using integration by parts.

Substitute value in equation(1).

Step 3:

Let

Replace with .

Solution:

.