Home
Class 12
MATHS
Evaluate int(0)^(a)(sqrt(x))/(sqrt(x)+sq...

Evaluate `int_(0)^(a)(sqrt(x))/(sqrt(x)+sqrt(a-x))`dx

Answer

Step by step text solution for Evaluate int_(0)^(a)(sqrt(x))/(sqrt(x)+sqrt(a-x))dx 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

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER MARCH -2018

    SUNSTAR PUBLICATION|Exercise PART-D|11 Videos
  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER MARCH - 2020

    SUNSTAR PUBLICATION|Exercise PART - E|4 Videos
  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PEPER MARCH -17

    SUNSTAR PUBLICATION|Exercise PART -D|12 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(a)(sqrtx)/(sqrt(x) + sqrt(a-x))dx .

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (a) int_(0)^(a) (sqrt(x))/(sqrt(x) + sqrt(a) - x)dx

Knowledge Check

  • int_(1)^(3)(sqrt(4-x))/(sqrt(x)+sqrt(4-x))dx=

    A
    2
    B
    0
    C
    1
    D
    3
  • The value of int_(2)^(8)(sqrt(10-x))/(sqrt(x)+sqrt(10-x))dx is

    A
    1)10
    B
    2)0
    C
    3)8
    D
    4)3
  • int(e^(sqrt(x)))/(sqrt(x)) dx =

    A
    `e^(sqrt(x))`
    B
    `(e^(sqrt(x)))/(2)`
    C
    `2e^(sqrt(x))`
    D
    `sqrt(x) e^(sqrt(x))`
  • Similar Questions

    Explore conceptually related problems

    By using the properties of definite integrals, evaluate the integrals int_(0)^(a)(sqrtx)/(sqrtx+sqrt(a-x))dx

    Evaluate: int(dx)/(x-sqrt(x))

    Find int_(2)^(8)(sqrt(10-x))/(sqrtx+sqrt(10-x))dx.

    Evaluate : int(1-x)/(sqrt(x))dx

    The value of int_(2)^(8) (sqrt(10 -x))/(sqrt(x) + sqrt(10) -x)dx is