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## shaqadry 2 years ago integrate -x(1+2x)^5 dx

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1. ash2326

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

2. shaqadry

how do i solve it by parts?

3. ash2326

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

4. ash2326

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

5. shaqadry

yes!

6. shaqadry

and then?

7. shaqadry

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

8. ash2326

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

9. ash2326

Can you try, apply it here?

10. shaqadry

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

11. ash2326

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

12. shaqadry

okay thanks i will try to solve it!

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