The value of integral ` int _(1//pi)^(2//pi)(sin(1/x))/(x^(2))dx=`

A

2

B

-1

C

0

D

1

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

The value of the integral int_(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi+x)) cos x dx

int_(-pi)^(pi) (2x(1+ sinx))/(1+ cos^(2)x)dx is

int_(0)^(pi//2)(sinx)/((1+cos^(2)x))dx

The value of integral \int_{(-pi)/3}^((pi)/3) frac{x sin x}{cos^2 x} dx is...........

If the value of the integral I=int_(0)^(1)(dx)/(x+sqrt(1-x^(2))) is equal to (pi)/(k) , then the value of k is equal to

int_(0)^(pi//2)(sinx cosx)/(1+sin^(4)x)dx=

The value of the definite integral 1/pi int_(pi/2)^((5pi)/2) e^(tan^(-1)(sinx))/(e^(tan^(-1)(sinx))+e^(tan^(-1)(cosx))) dx is

If for all real numbers y ,[y] is the greatest integer less than or equal to y , then the value of the integral int_(pi//2)^(3pi//2)[2sin x]dx is