HSC Science (Computer Science) 12th Board ExamMaharashtra State Board
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution for Evaluate : ∫sinx/√(36−cos^2x)dx - HSC Science (Computer Science) 12th Board Exam - Mathematics and Statistics

Login
Create free account


      Forgot password?

Question

Evaluate : `int (sinx)/sqrt(36-cos^2x)dx`

Solution

`intsinx/sqrt(36-cos^2x)dx`

 

Substitute cosx=t

-sinxdx=dt

The integral becomes

`int(-dt)/sqrt(36-t^2)=-intdt/sqrt(6^2-t^2)`

`=-sin^-1(t/6)+C=-sin^-1.cosx/6+c`

 

 

  Is there an error in this question or solution?

APPEARS IN

 2015-2016 (March) (with solutions)
Question 4.2.5 | 2 marks
Solution for question: Evaluate : ∫sinx/√(36−cos^2x)dx concept: Methods of Integration - Integration by Substitution. For the courses HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General) , HSC Arts
S
View in app×