Integrate the function 1/sqrt(9-x^2) with respect to x

Hint: Use the substitution x = 3sin(u)Method: substitute u into the function then times it all by dx/du. Simplify and integrate with respect to u to get u. Then resubstitute x back into the equation to get:Answer: arcsin(x/3)

LG
Answered by Luke G. Maths tutor

3640 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express x^2 - 7x + 2 in the form (x - p)^2 + q , where p and q are rational numbers.


What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?


Find the antiderivative of the function f(x)=cos(2x)+5.


Calculate dy/dx for y=x(x−1)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning