Home
Class 12
MATHS
Evaluate: int(1//4)^(1//2)1/(sqrt(x-x^2)...

Evaluate: `int_(1//4)^(1//2)1/(sqrt(x-x^2))dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int_{\frac{1}{4}}^{\frac{1}{2}} \frac{1}{\sqrt{x - x^2}} \, dx, \] we can start by simplifying the integrand. Notice that ...
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)^(1) (-1)/(sqrt(1-x^(2)) )dx

Evaluate : int_(0)^(1) (x)/(sqrt(1+x^(2)))dx

Evaluate : int_(1)^(4)(dx)/(sqrt(x))

Evaluate: int_(0)^(1)(1)/(sqrt(1-x^(2)))sin^(-1)(2x sqrt(1-x^(2)))dx

Evaluate : (i) int_(0)^(1//2)(dx)/(sqrt(1-x)) (ii) int_(0)^(1)((1-x)/(1+x))dx

Evaluate :int_(0)^(1)(1)/(sqrt(2x+3))dx

Evaluate :int_(1)^(4)(x^(2)+x)/(sqrt(2x+1))dx

Evaluate: int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx

Evaluate: int(1+x^(2))/(sqrt(1-x^(2)))dx

Evaluate: int_(0)^(4)(1)/(x+sqrt(x))dx( ii) int_(0)^(1)(2x)/(5x^(2)+1)dx