Posted by **Katie** on Sunday, December 30, 2012 at 5:23pm.

Integrate using integration by parts

(integral) (5-x) e^3x

u = 5-x

du = -dx

dv = e^3x

v = 3e^3x

I wonder if this is right so far.

= uv - (integral) v du

= (5-x)(3e^3x) - (integral) (-3e^3x)

=(5-x)(3e^3x) + (integral) (3e^3x)

= (5-x)(3e^3x) + 9e^3x + C

- Calculus II -
**Damon**, Sunday, December 30, 2012 at 5:36pm
dv = e^3x

v = (1/3)e^3x !!!!!!

- Calculus II -
**Katie**, Sunday, December 30, 2012 at 6:34pm
Okay then, is this the final answer

= (5-x)(3e^3x) + (integral) -- (1/3)e^3x

= (5-x)(3e^3x) + (1/9)e^3x + C

- Calculus II -
**drwls**, Sunday, December 30, 2012 at 6:47pm
No. You are using the wrong v function in the u*v term. See Damon's answer.

The (Integral)-v*du term is:

-(Integral)(1/3)e^3x(-dx)

= (1/9)e^3x

So your answer is ok for that term

- Calculus II -
**Katie**, Sunday, December 30, 2012 at 7:02pm
ok, thank you very much. Happy New Year

## Answer this Question

## Related Questions

- Math/Calculus - How would I evaluate the following integral by using integration...
- Calc 121 - How do you integrate using substitution: the integral from 1 to 3 of...
- Integral calculus - Please can anyone help with the following problems - thanks...
- integration by parts - s- integral s ln (2x+1)dx ? = ln(2x+1)x - s x d( ln (2x+1...
- Calculus - "Evaluate the following indefinite integral using integration by ...
- Math/Calculus - How would I integrate the following by parts: Integral of: (x^2...
- Calculus II - Evaluate the integral using method of integration by parts: (...
- calc - how do you start this problem: integral of xe^(-2x) There are two ways: 1...
- Calculus - Hello, I'm having trouble with this exercise. Can you help me? ...
- calc - evaluate the integral: y lny dy i know it's integration by parts but i ...