Home
Class 12
MATHS
Prove that int(0)^(a) f(x) dx = int(0)^(...

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`

Answer

Step by step text solution for 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 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

  • ANNUAL EXAMINATION QUESTION PAPER MAR-2018

    SUBHASH PUBLICATION|Exercise PART D|10 Videos

  • ANNUAL EXAMINATION QUESTION PAPER JUNE-2019 (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise EXERCISE|38 Videos

  • ANNUAL EXAMINATION QUESTION PAPER MAR-2019

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

Similar Questions

Explore conceptually related problems

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (e) int_(0)^(2)xsqrt(2 - x) dx .

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (c) int_(0)^(pi/2)(sqrt(sinx))/(sqrt(sin x) + sqrt(cos x))dx

Knowledge Check

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

    A
    2
    B
    0
    C
    1
    D
    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

    Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (d) int_(0)^(1)x(1 -x)^(n)dx .

    Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (b) int_(0)^(pi/2) cos^(2) xdx .

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

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

    Prove that int_(0)^(a)(x)dx = int_(0)^(a) f(a-x)dx and hence evaluate int_(0)^(pi/4)log (1 + tan x)dx .

    Home
    Profile