Home
Class 12
MATHS
int0^1sin^(- 1)(xsqrt(1-x)-sqrt(x)sqrt(1...

`int_0^1sin^(- 1)(xsqrt(1-x)-sqrt(x)sqrt(1-x^2))dx `

Text Solution

Verified by Experts

The correct Answer is:
`-1+(pi)/(4)`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    OSWAAL PUBLICATION|Exercise DEFINITE INTEGRALS (VERY TYPE ANSWER TYPE QUESTIONS - II)|2 Videos

  • II PUC TOPPER'S ANSWERS MARCH (2017)

    OSWAAL PUBLICATION|Exercise PART - E Answer any one question :|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OSWAAL PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS - II|43 Videos

Similar Questions

Explore conceptually related problems

If y = sin^(-1) (x sqrt(1-x) - sqrtx sqrt(1-x^(2))) then dy/dx =

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

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

int_0^(1) sqrt(x(1-x)) dx=

If int_0^1 (dx)/(sqrt(1 + x) - sqrt(x)) =(ksqrt(2))/(3) , then k is :

Evaluate: int_0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx

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

int_(1/2)^(1/sqrt2) (dx)/(x^(2)sqrt(1-x^(2))) =