1E Q8 cambridge- integrating inverse trig (1 Viewer)

[steffiduck]

i'm stuck on this question, and i can't move on in my work until i know how to do it.

the question is

"by differentiating each RHS, prove the extended standard forms with two constants (blah blah blah--stuff about box 15 in textbook)"

∫(1/√a^2-b^2x^2)dx=(1/b)sin^1(bx/a)+C

thanks in advance!

 

[SoulSearcher]

The question here is asking you to differentiate both sides of the equation, not to integrate, that should help you there Although you can integrate the LHS to get the RHS, but it's asking for you to differentiate both sides.