Integrate (1 - x^2)^(-0.5)dx within the limits 0 and 1

The answer is π/2. The key trick to solving this problem is to change variables by using the substitution x = sin(θ). We then need to change the differential and the limits too.

CW
Answered by Cameron W. Maths tutor

3772 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the stationary point on the line of y = 6x - x^2 and state whether this point is a maximum or a minimum


The curve C has equation (4x^2-y^3+3^2x)=0. The point P (0,1) lies on C: what is the value of dy/dx at P?


solve the differential equation dy/dx = 6xy^2 given that y = 1 when x = 2


Find the first derivative of f(x) = tan(x).


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:

© 2026 by IXL Learning