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.

Answered by Cameron W. Maths tutor

2944 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the equation 2(cos x)^ 2=2-sin x for 0 <=x<=180


Find and equation to the curve y=3x^3+2x^2-1 at x = -1


Solve the simultaneous equations: y - 3x + 2 = 0 y^2 - x - 6x^2 = 0


How do I integrate ln(x), using integration by parts?


We're here to help

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