Wednesday

April 23, 2014

April 23, 2014

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

(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 5:36pmdv = e^3x

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

- Calculus II -
**Katie**, Sunday, December 30, 2012 at 6:34pmOkay 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 6:47pmNo. 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 7:02pmok, thank you very much. Happy New Year

**Related Questions**

Calculus II - Evaluate the integral using method of integration by parts: (...

Integral calculus - Please can anyone help with the following problems - thanks...

calculus - Use integration by parts to evaluate the integral of x*sec^2(3x). My ...

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...

calculus-integration - integrate -2/xln^4(x)...plz help me..give me an idea on ...

Calculus 2 - integral of xarctanxdx using integration by parts.

Calculus - I have to use integration by parts to integrate tan^-1 (1/x)dx. I'm ...

Math/Calculus - How would I integrate the following by parts: Integral of: (x^2...

Calculus - "Evaluate the following indefinite integral using integration by ...