Home
Class 12
MATHS
Find int (x)/(sqrt(1-x)) dx , x in I =(0...

Find `int (x)/(sqrt(1-x)) dx , x in I =(0,1)`.

Text Solution

Verified by Experts

The correct Answer is:
`=(2)/(3)(1-x)^(3//2)-2sqrt(1-x)+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|53 Videos

  • INTEGRATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISE -6A|29 Videos

  • HYPERBOLA

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SAQ|2 Videos

  • MEASURES OF DISPERSION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE|9 Videos

Similar Questions

Explore conceptually related problems

Evalute the following integrals int (x)/(sqrt(1- x)) dx, x in I = (0,1)

int (1)/(sqrt(x)(1+x))dx=

Evaluate the integerals. int (x^(2))/(sqrt(1-x^(6)))dx on I =(-1,1).

int_(0)^(1)sqrt(x(1-x))dx=

int (1)/(sqrt(x)(x + 9)) dx =

Evaluate int (1)/(sqrt( sin^(-1)x) sqrt(1-x^(2))) dx " on " I=(0,1)

Find int(xsin^(-1)x)/(sqrt(1-x^(2)))dx

int (sin^(-1) sqrt(x))/(sqrt(1 -x)) dx =