Answer :

Tip – If f1(x) and f2(x) are two functions , then an integral of the form can be INTEGRATED BY PARTS as


where f1(x) and f2(x) are the first and second functions respectively.


Taking f1(x) = sin-1x and f2(x) = 1/x2,






Taking x= sina, dx = cosada


Hence, coseca=1/x


Now, cosec2a-cot2a = 1 so cota=√(1-x2)/x






Replacing the value of a, we get,




The total integration yields as


, where c is the integrating constant


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1

Evaluate: <span lMathematics - Board Papers

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1

<img width=Mathematics - Exemplar

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1