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 ▸Core 3 Differentiation: If y = (3x^2 + 2x + 5)^10, find its derivative, dy/dx. Hint: Use the chain rule.
Find the area between the curves C_1, C_2 and the lines x=0 and x=1, where C_1 is the curve y = x^2 and C_2 is the curve y = x^3.
Find the values of x and y for which dy/dx = 0 in y= x^3 - 4x^2 - 3x +2
The curve C has equation y = 3x^4 – 8x^3 – 3 (a) Find (i) dy/dx (ii) d^2y/dx^2 (3 marks) (b) Verify that C has a stationary point when x = 2 (2marks) (c) Determine the nature of this stationary point, giving a reason for your answer. (2)