Home
Class 12
MATHS
Evaluate: int (e^(m sin^(-1)x))/(sqrt(1...

Evaluate: `int (e^(m sin^(-1)x))/(sqrt(1-x^2))dx`

Text Solution

Verified by Experts

`t=sin^(-1)x`
`dt=1/sqrt(1-x^2)dx`
`int(e^m sin^(-1)x)/sqrt(1-x^2)dx=inte^(mt)dt`
`=1/me^(mt)+c`
`=1/me^(msin^(-1)x)+C`.
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int (e^(m"sin"^(-1)x))/(sqrt(1-x^(2)))ds

int e^(sin^(-1)x)[1+(x)/(sqrt(1-x^(2)))]dx

int(x sin^(-1)x)/(sqrt(1-x^(2)))dx

Evaluate: int({e^(sin^(-1)x)}^(2))/(sqrt(1-x^(2)))dx

int e^(x)(sin^(-1)x+(1)/(sqrt(1-x^(2))))dx

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

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

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

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

int(e^(2x))/(sqrt(1-e^(2x)))dx