Integrate x/((1-x^2)^0.5) with respect to x

x = sin(u), dx/du = cos(u), dx = cos(u) * du,[x/(1-x^2)^0.5)] * dx = [sin(u)/((1-(sin(u)^2))^0.5] * cos(u) * du = [sin(u)/(cos(u)^2)^0.5] * cos(u) * du = sin(u) * duIntegral of sin(u) * du = -cos(u) = -(1-sin(u)^2)^0.5 = -(1-x^2)^0.5

Answered by Andrew P. Maths tutor

3644 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

x = 1 is a solution for the curve y = x^3-6x^2+11x-6, find the other solutions and sketch the curve, showing the location of any stationary points.


Given that y > 0, find ∫((3y - 4)/y(3y + 2)) dy (taken from the Edexcel C4 2016 paper)


Using first principles find the differential of x^2


Find the general solution of the equation tan(2x + pi/2) = SQRT(3), giving your answer for x in terms of π in a simplified form.


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