Home
Class 12
MATHS
If int(0)^(pi) x f (cos^(2) x + tan ^(4)...

If `int_(0)^(pi) x f (cos^(2) x + tan ^(4) x ) dx`
`= k int_(0)^(pi//2) f(cos^(2) x + tan ^(4) x ) dx` then k =

Text Solution

Verified by Experts

The correct Answer is:
`19.97`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based) Single Correct Answer Type Questions|10 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1) Single Correct Answer Type Questions|43 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ) Single Correct Answer Type Questions|33 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

Similar Questions

Explore conceptually related problems

int_(0)^( pi)(x)/(4-cos^(2)x)dx

int_(0)^(pi//2)(dx)/((4+9cos^(2)x))

If int_(0)^(npi) f(cos^(2)x)dx=k int_(0)^(pi) f(cos^(2)x)dx , then the value of k, is

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

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

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

If int_(0)^(pi/2) f ( sin2 x ) sin x dx = A int_(0)^(pi/4) f ( cos 2 x ) cos x dx then the value of A is ( sqrt2 = 1.41)