Home
Class 12
MATHS
The value of I=int(-pi//2)^(pi//2) (cos ...

The value of `I=int_(-pi//2)^(pi//2) (cos x dx )/(1+2[ sin^(-1)(sin x)])` (where ,[.] denotes greatest integer function ) is …

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|4 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

Similar Questions

Explore conceptually related problems

If f(x) =[ sin ^(-1)(sin 2x )] (where, [] denotes the greatest integer function ), then

Evaluate int_(-pi//2)^(pi//2) sin^(7)x dx .

The value of int_(-pi//2)^(pi//2)[ cot^(-1)x] dx (where ,[.] denotes greatest integer function) is equal to

the value of int_(0)^([x]) dx (where , [.] denotes the greatest integer function)

Evaluate : int_(-pi/2) ^(pi/2) sin^2x dx

f(x)=sin^(-1)((2-3[x])/4) , which [*] denotes the greatest integer function.

The equation x^2 - 2 = [sin x], where [.] denotes the greatest integer function, has

int_(0)^(pi)[cos x] dx, [ ] denotes the greatest integer function , is equal to

The value of int_(-2)^(2)(sin^(2)x)/([(x)/(pi)]+(1)/(2))dx where [.] denotes greatest integer function , is

f(x)= cosec^(-1)[1+sin^(2)x] , where [*] denotes the greatest integer function. then range of f(x) is