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

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ash2326
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int x(1+2x)^5dx\] We can expand (1+2x)^5, but that will be tiring Do you know u substitution method ?

shaqadry
 2 years ago
Best ResponseYou've already chosen the best response.0how do i solve it by parts?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.0Not by parts, do u know usubstitution? It'll make it easy

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.0@shaqadry Put 2x+1=t so \[2dx=dt\] \[dx=\frac{dt}{2}\] Do you get this?

shaqadry
 2 years ago
Best ResponseYou've already chosen the best response.0wait but the question requires me to solve it by parts :/

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.0Then, we will use this \[\int uv=u\int v\int(du \int v)\]

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.0Can you try, apply it here?

shaqadry
 2 years ago
Best ResponseYou've already chosen the best response.0@ash2326 which one should i equate to 'u' ? which is the better choice?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.0Equate x to u, it'll become 1 in the second part of by parts and then we find the integral easily @shaqadry

shaqadry
 2 years ago
Best ResponseYou've already chosen the best response.0okay thanks i will try to solve it!
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