What is the indefinite integral of cos^2x?
List Trigonmetric identities which could help to simpilfy integral
Use cos(2x)= Cos2x-sin2x and sin2x=1-cos2x
Sub identity 2 into 1 and rearrange to show Cos2x=(1+cos2x)/2
and integrate to find the answer is x/2 + sin(2x)/4 + c
JM
Related Maths A Level answers
All answers ▸Three forces of magnitude 50N, PN, QN all act in a horizontal plane in equilibrium. The diagram shows the forces. DIAGRAM: QN = EAST, 50 = SOUTH, PN = 120 DEGREES ANTICLOCKWISE FROM QN a) Find P. b) Find Q.
Compare the following logarithms in base 1/2 without a calculator: log(8) and log(512)
Solve for 0 =< x =< 360 16/(cos(x+25)+1) = 10, give answers to 2 d.p.
Explain how Differentiation by the chain rule works