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:
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
- Calculus II - jaime, Sunday, September 13, 2015 at 11:55pm
- Calculus II - jaime, Sunday, September 13, 2015 at 11:57pm
Answer this Question
More 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 ...