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

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

asked Feb 9, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The integral is image.

Find the integral using integration by parts.

Formula for integration by parts is:image.

Here consider image.

image

image

Substitute above values in the formula.

image

Step 2:

Consider image

Assume image.

image

Find the integral using integration by parts.

image

Substitute image value in equation(1).

image

Step 3:

Let image

image

Replace image with image.

image

Solution:

image.

 

answered Feb 9, 2015 by cameron Mentor

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