integration2

3 Answers

1357
Manish Shankar ·

you should try it yourself:

if you have tried show your steps

4
UTTARA ·

Put xn + 1 = t

=> n xn-1 dx = dt

=> dx / x = dt/n(t -1)

I = INTEG [ dt / nt(t-1) ]

= 1/n ln [(t-1)/t]

Therefore , I = 1/n ln [(xn) / (xn + 1 ) ]

1
Divesh ·

take x^n out of the bracket in the Denominator

it will become x^(-n-1) / (1 + x^-n )

Which is of the form f '(x) / f(x)

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