Question

integrate -x(1+2x)^5 dx

Answer 1

\[\int -x(1+2x)^5dx\]
We can expand (1+2x)^5, but that will be tiring
Do you know u substitution method ?

Answer 2

how do i solve it by parts?

Answer 3

Not by parts, do u know u-substitution?
It'll make it easy

Answer 4

@shaqadry Put 2x+1=t
so
\[2dx=dt\]
\[dx=\frac{dt}{2}\]
Do you get this?

Answer 5

yes!

Answer 6

and then?

Answer 7

wait but the question requires me to solve it by parts :-/

Answer 8

Then, we will use this
\[\int uv=u\int v-\int(du \int v)\]

Answer 9

Can you try, apply it here?

Answer 10

@ash2326 which one should i equate to 'u' ? which is the better choice?

Answer 11

Equate x to u, it'll become 1 in the second part of by parts and then we find the integral easily @shaqadry

Answer 12

okay thanks i will try to solve it!