int(0)^(pi//2) (Sec x)/(Sec x + Cosec x)...

`int_(0)^(pi//2) (Sec x)/(Sec x + Cosec x) dx=`

A

`pi`

B

`pi/16`

C

`pi/4`

D

`pi/2`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

int_(0)(pi//2) ( x dx)/(Sin x + Cos x)=

int_(0)^(pi//2) (3 Sec x + 5 cosec x)/(Sec x + cosec x) dx=

int_(0)^(pi)(x tan x)/(Sec x+ Cos x) dx =

int_(0)^(pi) (tan x)/(sec x + cos x) dx=

int_(0)^(pi) (x tan x)/( sec x + tan x) dx=

int_(0)^((pi)/(2)) ("4 sec x + 5 cosec x")/("sec x + cosec x") dx

int sec x "cosec" x dx=

int_(0)^(pi//4)sec^(2)xdx=

int(0)^(1)Tan^(-1)((2x)/(1-x^(2)))dx=
Text Solution
|
int(0)^(ln 2) Sin h 2x dx=
Text Solution
|
int(0)^(pi//2) (Sec x)/(Sec x + Cosec x) dx=
Text Solution
|
int(0)^(pi//2)(dx)/(1+tan^(3)x)=
Text Solution
|
int(0)^(pi//2)(200 sin x + 100 cos x)/(sin x + cos x) dx =
Text Solution
|
int(0)^(pi//2) (5 tan x - 3 cotx)/(tan x + cot x) dx=
Text Solution
|
int(0)^(pi//2) (16sin x. cos x)/(sin^(4) x + cos^(4)x)dx=
Text Solution
|
int(0)^(oo)(logx)/(1+x^(2))dx=
Text Solution
|
int(0)^(1)x(1-x)^(n)dx=
Text Solution
|
The value of the integral, int(3)^(6)(sqrtx)/(sqrt(9-x)+sqrtx)dx is
Text Solution
|
int(pi//6)^(pi//3)(1)/(1+tan^(3)x)dx=
Text Solution
|
int(-1)^(1)(sqrt(1+x+x^(2))-sqrt(1-x+x^(2)))/(sqrt(1+x+x^(2))+sqrt(1-x...
Text Solution
|
int(-1)^(1)(ax^(3)+bx)dx=0 for
Text Solution
|
The value of int(-pi//2)^(pi//2)(x^(3)+xcosx+tan^(5)x+1)dx=
Text Solution
|
int(-pi//2)^(pi//2) ln((2-sin theta)/(2+sin theta))d theta=
Text Solution
|
int(pi//2)^(pi//2)e^(sin^(2)x).sin^(2n+1)xdx=
Text Solution
|
int(0)^(pi) cos^(3) x dx =
Text Solution
|
int(0)^(pi)sin^(5)2x dx=
Text Solution
|
int(0)^(pi) (x)/(1+cos^(2)x)dx=
Text Solution
|
int(0)^(pi)(x tan x)/(Sec x+ Cos x) dx =
Text Solution
|