April 23, 2014

Homework Help: Calculus II

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

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