What is the integral of (cos(x))^2?
cos(2x) = 2cos2(x)-1 by the double angle formula.
Rearrange to give cos2(x) = (cos(2x)+1)/2
Integrating this gives sin(2x)/4 + 1/4x + c
MC
Related Maths A Level answers
All answers ▸Write the complex number Z=1/2+sqrt(3)/2j both as a function involving cos & sin, and as a function involving an exponential.
2 log(x + a) = log(16a^6) where a is a positive constant. How do I find x in terms of a?
Derive from the standard quadratic equation, the form of the quadratic solution
Find the differential of f(x)=y where y=3x^2+2x+4. Hence find the coordinates of the minimum point of f(x)