Question

\[\int\limits 3x \sqrt {x+2} ~dx--->x=u^2-2\]\[2\int\limits 3(u^2-2) \sqrt {u^2}\times u\]How to carry on?

Answer 1

multiply and simplify first

Answer 2

if you know how to integrate polynomial then rest is a piece of cake

Answer 3

let u=x+2

Answer 4

then du=dx

Answer 5

then u-2=x

Answer 6

now distribute the u^1/2 into the parentheses

Answer 7

\[I~have~so~far:->~ 2 \int\limits 3u^4-6u^2\]

Answer 8

how is that possibe, dont you see what i did up there ^