Home
Class 12
MATHS
Evaluate of each of the following integr...

Evaluate of each of the following integral: `int_0^a(sqrt(x))/(sqrt(x)+sqrt(a-x))dx`

Text Solution

Verified by Experts

Let I=`int_0^a(sqrt(x))/(sqrt(x)+sqrt(a-x))dx...(1)`
I=`int_0^a(sqrt(a-x))/(sqrt(a-x)+sqrt(x))dx...(2)`
(1)+(2)
`2I=int_0^a dx`
`2I=a`
`I=a/2`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA|Exercise Solved Examples And Exercises|277 Videos
  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

Similar Questions

Explore conceptually related problems

Evaluate each of the following integral: int_0^2sqrt(4-x^2)dx

Evaluate each of the following integral: int_0^4 1/(sqrt(16-x^2))dx

Evaluate the following integral: int_2^8(sqrt(10-x))/(sqrt(x)+sqrt(10-x))dx

Evaluate the following integral: int_0^a x/(sqrt(a^2+x^2))dx

Evaluate the following integral: int_0^a1/(x+sqrt(a^2-x^2))dx

Find the value of following integral: int(sqrt(5-x))/(sqrt(x)+sqrt(5)-x)dx

Evaluate the following integral: int_0^(pi//2)(sqrt(cotx))/(sqrt(cotx\ )+sqrt(tanx))dx

Evaluate the following integrals: inte^(sqrt(x))dx

int_(0)^(a)(sqrt(x))/((sqrt(x)+sqrt(a-x)))dx=(a)/(2)

Evaluate the following integrals: int_(0)^(1)sqrt((1-x)/(1+x))dx