Home
Class 12
MATHS
int0^(pi//2)(cos^2theta"d"theta)/(cos^2t...

`int_0^(pi//2)(cos^2theta"d"theta)/(cos^2theta+4sin^2theta)=`

A

`pi/2`

B

`pi/6`

C

`pi/4`

D

`pi/5`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    ML KHANNA|Exercise PROBLEM SET (2)(FILL IN THE BLANKS)|1 Videos

  • INTEGRATION

    ML KHANNA|Exercise SELF ASSESSMENT TESET|10 Videos

  • INTEGRATION

    ML KHANNA|Exercise PROBLEM SET (1)(FILL IN THE BLANKS)|1 Videos

  • INEQUALITIES

    ML KHANNA|Exercise PROBLEM SET (1)(FILL IN THE BLANKS)|4 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos

Similar Questions

Explore conceptually related problems

int_(0)^( pi/2)cos^(9)theta d theta

int_(0)^( pi/2)cos^(9)theta d theta

int_(0)^( pi/2)cos^(3)theta d theta

int_(0) ^(pi//2) cos^(2) theta d theta =

int_(0)^(pi//2) (sin^(2)theta)/ (1+cos theta)^(2) d theta =

int_(pi//4) ^(pi//2) (cos theta)/((cos (theta/2) + sin (theta/2))^(3))d theta=

int_0^(pi/4) (2sinthetacostheta)/(sin^4theta+cos^4theta)d theta

int_(pi//4)^(pi//2)(costheta)/((cos\ (theta)/(2)+sin\ (theta)/(2)))\ d theta

A value of theta in (0, pi//3), for which |{:(1+"cos"^(2)theta, "sin"^(2)theta, 4"cos" 6 theta), ("cos"^(2)theta, 1+"sin"^(2)theta, 4"cos"6theta), ("cos"^(2)theta, "sin"^(2)theta, 1+4"cos"6theta):}| = 0, is

int_(0)^((pi)/(2))(cos theta-sin theta)/((1+cos theta)(1+sin theta))d theta equals -