Home
Class 12
MATHS
If I(n)=int(0)^(pi//4) tan^(n)theta d th...

If `I_(n)=int_(0)^(pi//4) tan^(n)theta d theta ` for `1,2,3,…` then
`I_(n-1)+I_(n+1)=`

A

0

B

1

C

`(1)/(n)`

D

`(1)/(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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

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

If I_(n) = int_((pi)/(4))^((pi)/(2)) cot^(n) x dx , prove that I_(n) + I_(n-2) = (1)/(n-1)