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

3607 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the derivative of y = (3x-2)^1/2 ?


The mass of a substance is increasing exponentially. Initially its mass is 37.5g, 5 months later its mass is 52g. What is its mass 9 months after the initial value to 2 d.p?


Prove 2^n >n for all n belonging to the set of natural numbers


Show, by counter-example, that the statement "If cos(a) = cos(b) then sin(a) = sin(b)" is false.


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:

© 2025 by IXL Learning