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

Evaluate: `int_0^1sin^(-1)x\ dx`

Text Solution

Verified by Experts

`I=int_{0}^{1} sin ^{-1} x d x`
Applying integration by part,
` =[x sin ^{-1} x-int frac{x}{sqrt{1-x^{2}}} d x]_{0}^{1} `
` =[x sin ^{-1} x+sqrt{1-x^{2}}]_{0}^{1} `
` =frac{pi}{2}-1`
`
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_0^1sin^(-1)((2x)/(1+x^2))dx

Evaluate: int e^(sin^(-1)x)dx

Evaluate: int_0^1 sin^-1 (xsqrt(1-x) -sqrtxsqrt(1-x^2))dx.

Evaluate int sin^(-1)x dx .

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

Evaluate int_0^1 x^7dx

Evaluate: int(sin^(-1)x)^(2)dx

Evaluate: int sin^(-1)sqrt(x)dx

Evaluate: int sin^(-1)sqrt(x)dx

Evaluate: int(sin^-1x)^2dx