Find the indefinite integral tan(5x)tan(3x)tan(2x)

Noticing that tan(5x) = tan(3x+2x) we use the tan compound angle formula to find tan(5x) = (tan(2x)+tan(3x))/(1-tan(2x)tan(3x)) and thus tan(5x)tan(3x)tan(2x) = tan(5x)-tan(3x)-tan(2x). From then we can integrate the parts of the sum individually as normal. Remembering that if F(x) = integral of f(x) dx then the integral of f(ax) dx = 1/a F(ax)

SO
Answered by Sean O. Maths tutor

13636 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the chain rule and how does it work?


Find the area between the curves y = x^2 and y = 4x - x^2.


Show that (x-2) is a factor of 3x^3 -8x^2 +3x+2


How would you integrate ln(x) with respect to 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:

© 2025 by IXL Learning