Determine the integral:

6(3x+5)^11 dx

I got 6 (3x+5/36)^12 +C

A yay or Nay would be great if someone doesn't mind

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- Aug 28th 2008, 11:07 AMally79check an answer?
Determine the integral:

6(3x+5)^11 dx

I got 6 (3x+5/36)^12 +C

A yay or Nay would be great if someone doesn't mind - Aug 28th 2008, 11:16 AMMoo
- Aug 28th 2008, 11:20 AMMarine
Hi!

You can proved it by yourself by differentiating it ;)

or try the linear substitution

all the best, marine - Aug 29th 2008, 04:21 AMProve It
$\displaystyle \int 6(3x+5)^{11} dx$

Let $\displaystyle u=3x+5$ and so $\displaystyle \frac{du}{dx}=3$

So $\displaystyle \int 6(3x+5)^{11} dx=2\int 3(3x+5)^{11} dx = 2\int u^{11} \frac{du}{dx} dx$

$\displaystyle = 2 \int u^{11}du = \frac{1}{6} u^{12} +C = \frac{1}{6}(3x+5)^{12}+C$