The value of I=int(0)^(pi//4)(tan^(*n+1)...

The value of `I=int_(0)^(pi//4)(tan^(*n+1)x)dx+(1)/(2)int_(0)^(pi//2)tan^(n-1)((x)/(2))dx` is equal to

A

`1/n`

B

`(n + 2)/(2n + 1)`

C

`(2n-1)/(n)`

D

`(2n -3)/(3n - 2)`

Verified by Experts

The correct Answer is:

A

The value of I=int(0)^(pi//4)(tan^(*n+1)x)dx+(1)/(2)int(0)^(pi//2)tan^...
Text Solution
|
Using integral int(0)^(-(pi)/(2))ln(sin x)dx=-int(0)^( pi)ln(sec x)dx=...
Text Solution
|
int(0)^((pi)/(2))(dx)/(1+sqrt(tan x))=int(0)^((pi)/(2))(dx)/(1+sqrt(co...
Text Solution
|
The value of int(0)^( pi/2)(dx)/(1+tan^(3)x)(i)0(ii)1(iii(pi)/(2) (iv)...
Text Solution
|
The value of int(0)^(pi//2)(dx)/(1+tan^(3)x) is
Text Solution
|
Statement-1: int(0)^(pi//2) (1)/(1+tan^(3)x)dx=(pi)/(4) Statement-2:...
Text Solution
|
I(n)=int(0)^(pi//4) tan^(n)x dx, where n in N Statement-1: int(0)^(p...
Text Solution
|
int(0)^(pi//4) (sec^(2)x)/((1+tan x)(2+tan x))dx is equal to
Text Solution
|
The value of int(0)^((pi)/(2)) (dx)/( 1+ tan x) is
Text Solution
|

Similar Questions