Home
Class 12
MATHS
int(-pi//2)^(pi//2) ln((2-sin theta)/(2+...

`int_(-pi//2)^(pi//2) ln((2-sin theta)/(2+sin theta))d theta=`

A

0

B

1

C

2

D

-1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - II|156 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|151 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|23 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

int_(-pi//2)^(pi//2)log((2-sintheta)/(2+sintheta))d""theta=

int_(-pi//2)^(pi//2) cos theta (1+sin theta)^(2) d theta=

Find the value of the integral int_(-pi//2)^(pi//2) sin^(3) theta. Cos^(3) theta d theta

Find the value of the integral int_(-pi//2)^(pi//2) sin^(2) theta . Cos^(7)theta d theta

int_(-(pi)/(2))^((pi)/(2)) sin^(3) theta cos^(3) theta d theta

The value of int_(0)^(pi//2)sqrt(sin2theta)sinthetad""theta is

Show that int_(0)^(pi//2) (cos^(2) theta)/(cos^(2) theta + 4 sin^(2) theta)d theta = (pi)/(6)