Home
Class 12
MATHS
Evaluate : int0^1sqrt(x(1-x))dx...

Evaluate : `int_0^1sqrt(x(1-x))dx`

Text Solution

Verified by Experts

`int_0^1sqrt(x(1-x))dx`
Let,
`x=sin^2theta`
`dx=2sinx cosx d(theta)`
`dx=sin2(theta) d (theta)`
when `x=0` `theta=0`
when `x=1 theta=(pi)/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 int_0^1sqrt((1-x)/(1+x))dx

int_0^1 x/sqrt(1+x)dx

int_0^1 x/sqrt(1-x^2)dx

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

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

int_0^1 x/sqrt(1+x^2)dx

Evaluate : int_(0)^(1)(e^(sqrt(x)))/(sqrt(x))dx

Evaluate : int_( 0 ) ^1 x sqrt(x) dx

Evaluate : int_( 0 ) ^1 x sqrt(x) dx

int_0^1 x/(1+sqrt(x))dx