# How would you integrate this?

## Homework Statement

Integrate: (e^(2t))(25sint+20cost)dt

## Homework Equations

Integration by parts twice

## The Attempt at a Solution

I don't know what to set for u and v.

I ended up wolfram alpha it but I want to know how to get there.

The solution is:

e^(2t)(14sint+3cost)=C

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Mark44
Mentor

## Homework Statement

Integrate: (e^(2t))(25sint+20cost)dt

## Homework Equations

Integration by parts twice

## The Attempt at a Solution

I don't know what to set for u and v.

I ended up wolfram alpha it but I want to know how to get there.

The solution is:

e^(2t)(14sint+3cost)=C
You could split the integral into two parts and work each one separately. I would start off with u1 = 25sin(t) for the first integral and u2 = 20cos(t) for the second one. Do similar substitutions the second time you apply integration by parts.

Mark44
Mentor
mshiddensecret said:
e^(2t)(14sint+3cost)=C
Should be + C, right?