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

Mathematics
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\[\int -x(1+2x)^5dx\] We can expand (1+2x)^5, but that will be tiring Do you know u substitution method ?
how do i solve it by parts?
Not by parts, do u know u-substitution? It'll make it easy

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Other answers:

@shaqadry Put 2x+1=t so \[2dx=dt\] \[dx=\frac{dt}{2}\] Do you get this?
yes!
and then?
wait but the question requires me to solve it by parts :-/
Then, we will use this \[\int uv=u\int v-\int(du \int v)\]
Can you try, apply it here?
@ash2326 which one should i equate to 'u' ? which is the better choice?
Equate x to u, it'll become 1 in the second part of by parts and then we find the integral easily @shaqadry
okay thanks i will try to solve it!

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