Home
Class 12
MATHS
Evaluateint(0)^(pi)x^(2)cosnxdx, where n...

Evaluate`int_(0)^(pi)x^(2)`cosnxdx, where n is positive integer.

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise EXERCISE 9.1|3 Videos
  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise EXERCISE 9.2|1 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_(0)^(2pi)x^(2) sinnxdx, where n is positive integer.

Evaluate int_(0)^(2pi)x^2 sin 2xdx .

Evaluate int_(0)^(pi/2)logsinxdx

Evaluate int_(0)^(infty)(x^(n))/(n^(x)) dx, where n is a positive integer.

If U_(n)=int_(0)^(pi)(1-cosnx)/(1-cosx)dx where n is positive integer of zero, then The value of U_(n) is

Evaluate int_(0)^(pi)(x)/(1+sinx) dx.

Prove that int_(0)^(infty)x^n e^(-x) dx=n!., Where n is a positive integer.

If U_n=int_0^pi(1-cosnx)/(1-cosx)dx , where n is positive integer or zero, then show that U_(n+2)+U_n=2U_(n+1)dot Hence, deduce that int_0^(pi/2)(sin^2ntheta)/(sin^2theta)=1/2npidot