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)

Answered by Luke G. Maths tutor

3065 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate 2sin(theta)cos(2*theta)


Find the stationary point of the curve y = -2x^2 + 4x.


Prove that the d(tan(x))/dx is equal to sec^2(x).


How can I demonstrate that (sin(T)+cos(T))(1-sin(T)cos(T))=(sin(T))^3+(cos(T))^3


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences