Home
Class 12
MATHS
Evaluate the following integrals: int...

Evaluate the following integrals: `int_0^(pi//2)(tanx)/(1+m^2tan^2x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(log m)/(m^2-1)`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    MODERN PUBLICATION|Exercise REVISION EXERCISE|28 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise QUESTION FROM NCERT EXAMPLAR|6 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos
  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integral: int_0^(pi//2)1/(1+tanx)

Evaluate the following integral: int_0^(pi//2)1/(1+tanx)dx

Evaluate the following integral: int_0^(pi//2)1/(1+tan^3x)dx

Evaluate the following integral: int_0^(pi//2)1/(1+tan^3x)dx

int_(0)^(pi//2)(tanx)/(1+m^(2)tan^(2)x)\ dx

Evaluate the following integral: int_0^(pi//2)(tan^7x)/(tan^7x+cot^7x)dx

Evaluate the following integrals: pi/2int_(0)^( pi/2)(tan x)/(1+m^(2)tan^(2)x)dx

Evaluate the following integral: int_0^(pi//4)(tan^3x)/(1+cos2x)dx

Evaluate the following integrals int_(0)^(pi//2)cos x dx

Evaluate the following integral: int_0^(pi//2)x^2sinx\ dx