Find the indefinite integral of cos^2 x

First, we need to write cos2x in a form that is easily integrable. We can use the double angle formula cos(2x) = 2cos2x - 1 to see that cos2x = 1/2cos(2x)+1/2. Now, we can integrate the terms seperately. Using the chain rule, we see that the integral of 1/2cos(2x) is 1/4sin(2x). Also, the integral of 1/2 is 1/2x. This gives us the answer of: 1/4sin(2x) + 1/2x + const.

ER
Answered by Ethan R. Maths tutor

7895 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I use the chain rule to differentiate polynomial powers of e?


F = 5i + 3j. Find the magnitude and direction of F?


Differentiate, y = 2x^3 + 2/x + 3


A curve is defined by parametric equations: x = t^(2) + 2, and y = t(4-t^(2)). Find dy/dx in terms of t, hence, define the gradient of the curve at the point where t = 2.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences