Evaluate int(0)^(pi)(x dx)/(1+cos alpha ...

Evaluate `int_(0)^(pi)(x dx)/(1+cos alpha sin x)`,where `0lt alpha lt pi`.

A

`(pi)/(sin alpha)`

B

`(pi alpha)/( sin alpha)`

C

`(alpha)/( sin alpha)`

D

`(sin alpha)/(alpha)`

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise For Session 3|20 Videos
DEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise For Session 4|20 Videos
DEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
COORDINATE SYSTEM AND COORDINATES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
DETERMINANTS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise For Session 2

Evaluate int(0)^(pi//4) log (1+tan theta)d theta
Text Solution
|
Q. int0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I
Text Solution
|
The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dx is
Text Solution
|
Evaluate: int0^2(dx)/((17+8x-4x^2)[e^(6(1-x))+1)
Text Solution
|
If f is an odd function, then evaluate I=int(-a)^a(f(sinx)dx)/(f(cosx...
Text Solution
|
If [x] stands for the greatest integer function, the value of overset(...
Text Solution
|
Evaluate int(0)^(pi)(x dx)/(1+cos alpha sin x),where 0lt alpha lt pi.
Text Solution
|
f,g, h , are continuous in [0, a],f(a-x)=f(x),g(a-x)=-g(x),3h(x)-4h(a-...
Text Solution
|
If 2f(x)+f(-x)=1/xsin(x-1/x)then the value of int(1/e)^e f(x)d x is
Text Solution
|
Show that int(0)^(pi)xf(sinx)dx=(pi)/2 int(0)^(pi)"fr"(sinx)dx.
Text Solution
|
Evaluate int(0)^(pi)( sin 2x ) dx.
Text Solution
|
The numbers of possible continuous f(x) defined in [0,1] for which I1...
Text Solution
|
Let l(1)=int(0)^(1)(e^(x))/(1+x)dx and l(2)=int(0)^(1)(x^(2))/(e^(x^(3...
Text Solution
|
If f(x) =(e^x)/(1+e^x), I1=int(f(-a))^(f(a)) xg(x(1-x))dx, and I2=int(...
Text Solution
|