Find the following.

∫ (v^2 - e^(3v)) dv.

I did

∫(V^2-e^(3v)) dv

∫(v^2)dv - I (e^(3v) )dv

∫(v^3)/3- (e^(3v))/3

∫(v^3-e^(3v))/3

Did I do it right?

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- Apr 16th 2011, 08:45 AMrowdy3Antiderivatives
Find the following.

∫ (v^2 - e^(3v)) dv.

I did

∫(V^2-e^(3v)) dv

∫(v^2)dv - I (e^(3v) )dv

∫(v^3)/3- (e^(3v))/3

∫(v^3-e^(3v))/3

Did I do it right? - Apr 16th 2011, 09:02 AMe^(i*pi)
- Apr 16th 2011, 09:10 AMrowdy3
∫(v^2-e^(3v)) dv

= ∫(v^2)dv - ∫ (e^(3v) )dv

= (v^3)/3- (e^(3v))/3 + C

This could also be written as

(1/3)v3 - (1/3)e3v + C

or as (1/3)(v3 - e3v) + C