Home
Class 12
MATHS
If I(n)=int(0)^(pi)x^(n). sin x dx then ...

If `I_(n)=int_(0)^(pi)x^(n). sin x dx` then the value of `I_(5)+ 20I_(3)=`

A

`((pi)/(2))^(5)`

B

`5(pi)^(5)`

C

`pi^(5)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Similar Questions

Explore conceptually related problems

If I_(n) = int_(0)^(pi//2) x^(n).cos x dx then the value of I_(9)+72I_(7)=

If I_(1)= int Sin^(-1)((2x)/(1+x^(2)))dx,I_(2)= int Cos^(-1)((1-x^(2))/(1+x^(2)))dx, I_(3)= intTan^(-1)((2x)/(1-x^(2)))dx then the value of I_(1)+I_(2)-I_(3)=

If I_(n) = int_(0)^(pi//4) tan^(n) x dx then (1)/(I_(3)+I_(5))=

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

If I_(n) = int_(0)^(pi//4) Tan^(n) x dx then I_(2)+I_(4), I_(3)+I_(5), I_(4)+I_(6)..... are in

If I_(n)=int_(0)^(pi//4) tan^(n) x dx then {:(" " Lt),(n rarr oo):}n(I_(n)+I_(n+2))=

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)=

If I_(n)= int(sin nx)/(cos x)dx , then I_(n)=

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