Integrate y with respect to x, where y = cos(x)/[1+tan^2(x)]

y = cos(x)/sec2(x) = cos3(x)

y = cos(x)(1-sin2(x)) = cos(x) - cos(x) sin2(x)

-> sin(x) - sin3(x)/3 + c

DC
Answered by Daniel C. Maths tutor

3987 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

y=e^(2x) - x^3. Find dy/dx. (please note this is "e to the power of 2x, minus x cubed")


Find the gradient of the curve y = x^2(ln(x)) at x = e


How do I differentiate y=x^x?


Simplify the following expression to a fraction in its simplest form: [(4x^2 + 6x)/(2x^2 - x -6)] - [(12)/(x^2 - x - 2)]


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