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 ▸C and D are two events such that P(C) = 0.2, P(D) = 0.6 and P(C|D) = 0.3. Find P(D|C), P(C’ ∩ D’) & P(C’ ∩ D)
A stone was thrown with velocity 20m/s at an angle of 30 degrees from a height h. The stone moves under gravity freely and reaches the floor 5s after thrown. a) Find H, b)the horizontal distance covered
How can you remember what sin(x) and cos(x) differentiate or integrate to?
Integrate sin(x)cos(x)^2 from 0 to π/2