anonymous one year ago integral from 0 to 3 5x Sin (3x+1) I'm pretty sure this is an integration by parts. I made U 5x and dv = sin (3x+1). Is this the correct path?

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1. Astrophysics

$\int\limits_{0}^{3} 5x \sin(3x+1)dx$ like this?

2. welshfella

yes by parts would do it

3. Astrophysics

By parts should work, u = 5x, dv = sin(3x+1) so now integrate for v

4. Astrophysics

Note: $\int\limits u dv = uv - \int\limits v du$

5. anonymous

so would v end up being $\frac{ 1 }{ 3 } \sin (3x+1)$ sorry for the dumb question. Been a couple of years since Calculus 1!

6. anonymous

oops, change that sin to a -cos.

7. Astrophysics

Yup

8. Astrophysics

-1/3cos(3x+1)

9. Astrophysics

Keep going, I'm sure you'll get it!