Home
Class 12
MATHS
If (1 sin t)/(1 + t) dt = alpha, then th...

If `(1 sin t)/(1 + t) dt = alpha`, then that value of the integral :
`int_(4pi - 2)^(4pi) (sin t/2)/(4pi + 2 - t) dt` in terms of `alpha` is given by :

A

`2 alpha`

B

`-2 alpha`

C

`alpha`

D

`-alpha`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

The value of integral int_(-pi//4)^(pi//4) sin^(-4) x dx is :

The value of the integral int_(-pi)^(pi) sin mx sin nx dx , for m != n (m,n in 1) is :

Evaluate the definite integrals int_(0)^(pi/4)sin2xdx

If int_(sin x)^(1) t^2 f(t) dt = 1 - sin x , then the value of f(1/(sqrt3)) is :

If int_0^x f(t) dt = x + int_x^l tf (t) dt , then the value of f(1) is :

The integral int_(0)^(pi) sqrt(1 + 4 sin^2 x/2 - 4 sin x/2) dx equals :

By using the properties of definite integrals, evaluate the integrals int_((-pi)/2)^(pi/2)sin^(7)xdx

If f(x) = int_(0)^(x) t sin t dt, then f'(x) is

int (1+t^(2))/(1+t^(4))dt =