• Aug 28th 2008, 11:07 AM
ally79
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 AM
Moo
Quote:

Originally Posted by ally79
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

Erm.... does Ynay work ? :D

It's (6(3x+5)^12)/36 +C=((3x+5)^12)/6 +C, not what you've written :p
Try to figure it out. Putting parenthesis can sometimes help ! ^^
• Aug 28th 2008, 11:20 AM
Marine
Hi!

You can proved it by yourself by differentiating it ;)

or try the linear substitution

all the best, marine
• Aug 29th 2008, 04:21 AM
Prove It
Quote:

Originally Posted by ally79
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

$\displaystyle \int 6(3x+5)^{11} dx$

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

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