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