How do I integrate sin^2(x)?
First, remember the compound angle formula for cosine:
cos(2x)=cos^2(x)-sin^2(x). Now use the identity sin^2(x)+cos^2(x)=1 to give:
cos(2x)=(1-sin^2(x))-sin^2(x)=1-2sin^2(x)
Rearranging this so we have sin^2(x)=1/2(1-cos(2x))
Replace this with the original integration and use the chain rule to get:
1/2(x-1/2sin(2x))+c
CD
Related Maths A Level answers
All answers ▸find dy/dx at t, where t=2, x=t^3+t and y=t^2+1
How Do I Integrate cos(x) and sin(x) with higher powers?
I don't understand integration by parts - can you explain it please?
The curve y = 4x^2 + a/x +5 has a stationary point. Find the value of the positive constant 'a' given that the y-coordinate of the stationary point is 32. (OCR C1 2016)