How do I integrate sin^2 (x) dx?

The key to answering this question is to recognise that a common substitution of u=sin(x) wont work straight away so we must write the integral in a different form. Knowing that cos(2x)=1-2sin^2(x), the sin^2(x)=(1/2)(1-cos(2x)). Therefore the integral equals the integral of (1/2)(1-cos(2x)). We know the integral of cos(2x) dx is (1/2)*(sin(2x)). Thus the integral of sin^2(x)dx equals (x-(1/2)*sin(2x))/2.

Answered by Oghenebrume U. Maths tutor

170026 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

a) Integrate ln(x) + 1/x - x to find the equation for Curve A b) find the x coordinate on Curve A when y = 0.


What is the best way to revise for a Maths A-level?


A curve has parametric equations: x = 3t +8, y = t^3 - 5t^2 + 7t. Find the co-ordinates of the stationary points.


A curve is described by the equation x^3 - 4y^2 = 12xy. a) Find the points on the curve where x = -8. b) Find the gradient at these points.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences