Home
Class 12
MATHS
Evaluate int(0)^(pi)(xsinx)/(1+cos^(2)x)...

Evaluate `int_(0)^(pi)(xsinx)/(1+cos^(2)x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi^(2))/(4)`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise EXERCISE 7.1|22 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise EXERCISE 7.2|39 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate the integrals by using substitution int_(0)^(pi/2)(sinx)/(1+cos^(2)x)dx

Evaluate int_(0)^(pi)(xdx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)

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

Evaluate int_(0)^(1)(tan^(-1)x)/(1+x^(2))dx

Evaluation of definite integrals by subsitiution and properties of its : int_(-pi)^(pi)(2x(1+sinx))/(1+cos^(2)x)dx=.........

Fundamental theorem of definite integral : int_(0)^(pi/4)(sin^(9)x)/(cos^(11)x)dx=........

Evaluate the definite integrals int_(0)^(pi)(sin^(2)x/2-cos^(2)x/2)dx

Evaluate the following integrals. int_(0)^(pi/2)(sin^(2)x)/(1+sinxcosx)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(sinx-cosx)/(1+sinxcosx)dx

Evaluate the definite integrals int_(pi/2)^(pi)e^(x)((1-sinx)/(1-cosx))dx