(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Calculate the area between the curves y = sin 2x and y = cos x from x = to x = 90 degrees

2. Relevant equations

Using the difference function: ∫(upper = 90) (lower = 0) [sin2x - cos x]

3. The attempt at a solution

(sin 2x) - (cos x)

= ∫ sin 2x - cos x

= ∫-0.5 cos 2x - sin x

= [(-0.5 cos 2 x 90) - (sin 90)] - [(-0.5 cos 2 x 0) - (sin 0)

= (0.5) - (-0.5)

= 1

The answer is 1/2

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# Homework Help: Definite integration (area between curves)

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