Home
Class 12
MATHS
If I(m,n)=int (x^(m))/((log x)^(n))dx th...

If `I_(m,n)=int (x^(m))/((log x)^(n))dx` then
`(m+1)I_(m,n)-n.I_(m,n+1)=`

A

`(x^(m))/((logx)^(n))+c`

B

`-(x^(m))/((logx)^(n))+c`

C

`-(x^(m+1))/((logx)^(n))+c`

D

`(x^(m+1))/((logx)^(n))+c`

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Similar Questions

Explore conceptually related problems

If I_(m,n)=int x^(m)(logx)^(n)dx then I_(m.n)=

If I_(n)= int_(1)^(e) (log x)^(n) dx then I_(8) + 8I_(7)=

If I_(n)= int (e^(ax))dx/(x^(n)) , then I_(n)=

If I_(m,n) - int (x^(m) (logx)^(n) dx then I_(m,n) - (x^(m+1))/((m + 1)) (logx)^(n) =

If I_(n) = int (log x)^(n) dx then I_(6) + 6I_(5) =

I_(m, n)= int_(0)^(1) x^(m) (ln x)^(n) dx=

If I_(n)= int (log x)^(n)dx then I_(n)+nI_(n-1)=

If I_(m.n) = int sin^(m) x cos^(n) xdx then I_(5,4) =