Home
Class 12
MATHS
Using properties of definite integral pr...

Using properties of definite integral prove that `int_0^2 xsqrt(2-x)dx= (16sqrt2)/15`

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

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

Using property of define integrals, prove that : int_(0)^(1) log(1/x-1)dx=0

By using the properties of definite integrals, evaluate the integral: int_0^2 xsqrt(2-x)dx

Using property of define integrals, prove that : int_(0)^(pi//2)sin2xlogtanx dx=0

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) (sqrt sinx)/(sqrtsinx+sqrtcosx)dx

By using the properties of definite integrals, evaluate the integral: int_0^a (sqrtx)/(sqrtx +sqrt(a-x))dx

Using property of define integrals, prove that : int_(0)^(pi//2)logcos x dx=(-pi)/2log2

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

Using properties of definite integrals, show that int_(0)^(pi//2)(xdx)/(sinx+cosx)=(pi)/(2sqrt(2))log(sqrt(2)+1)

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