Home
Class 12
MATHS
If int(0)^(k)(cosx)/(1+sin^(2)x)dx=(pi)/...

If `int_(0)^(k)(cosx)/(1+sin^(2)x)dx=(pi)/(4)` then k=

A

1

B

`pi//4`

C

`pi//2`

D

none

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|116 Videos

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|33 Videos

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 Videos

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4|3 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

Similar Questions

Explore conceptually related problems

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

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

If f(x) int_(0)^(k) (Cos x)/(1+Sin^(2)x)dx= pi/4 then K=

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

If int_(0)^(k)(1)/(2+8x^(2))dx=(pi)/(16) then k=

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

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

int_(0)^(pi//2)(cosx-sinx)e^(x)dx=

int_(0)^(pi//4)(sinx+cosx)/(3+sin2x)dx=

Show that int_(0)^(pi//2)(sinxcos x)/(1+sin^(4)x)dx = (pi)/(8)