solve ∫(dx/(x(x n +1))

solve ∫(dx/(x(xn +1))


2 Answers

Badiuddin askIITians.ismu Expert
148 Points
13 years ago

Dear harshit agarwal

∫(dx/(x(xn +1))

multiply and devide by xn-1

integral will become

∫(xn-1dx/(xn(xn +1))

put xn=t


now integral will become

1/n∫(dt/(t(t +1))

=(1/n)∫(dt/[(t +1/2)2-(1/2)2]

this can be easly solve

by using the formula for



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manoj jangra
8 Points
13 years ago

 just put

logx = y


∫dy/eny  +1

from here you put take eny in numerator and put e-ny +1 = z

you will get answer  

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