Home
Class 12
MATHS
By using the properties of definte, prov...

By using the properties of definte, prove that
`int_(0)^(pi//2)cos^(2)x dx=(pi)/4`

Answer

Step by step text solution for By using the properties of definte, prove that int_(0)^(pi//2)cos^(2)x dx=(pi)/4 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION XII MOST IMPORTANT QUESTIONS FOR PRACTICE)|17 Videos
  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|98 Videos
  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION X MOST IMPORTANT QUESTIONS FOR PRACTICE)|12 Videos
  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

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

By using the properties of definte, prove that int_(0)^(pi//2)(dx)/(1+tan^(3)x)dx=(pi)/4

By using the properties of definte, prove that int_(0)^(pi//2)(sin^(3)x)/(sin^(3)x+cos^(3)x)dx=(pi)/4

By using the properties of definte, prove that int_(0)^(pi//2)(sin^(3//2)x)/(sin^(3//2)x+cos^(3//2)x)dx=(pi)/4

By using the properties of definte, prove that int_(0)^(pi//2)(sinx)/(sinx+cosx)=(pi)/4

Prove that: int_(0)^(2pi)cos^(5)x=0

By using the properties of definte, prove that int_(0)^(pi//2)(dx)/(1+sqrt(cotx))=(pi)/4

By using the properties of definte, prove that int_(0)^(pi//2)(sqrt(cotx))/(sqrt(tanx)+sqrt(cotx))=(pi)/4

By using the properties of definte, prove that int_(0)^(pi)(e^(cosx))/(e^(cosx)+e^(-cosx))dx=(pi)/2

By using the properties of definte, prove that int_(0)^(a)1/(x+sqrt(a^(2)-x^(2)))=(pi)/4