integration area of sinx and cos x (1 Viewer)

cloud edwards

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So, How does one find the total shaded area (red and green in the attachment).
I'm unsure whether the first half (red part) is going to be the integral of sinx or (cosx -sinx)

My instinct working out for total area of the shaded:

integration of sin x between 0 and 45 + [integration of sinx -cos x in between 45 to 90]
 

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So, How does one find the total shaded area (red and green in the attachment).
I'm unsure whether the first half (red part) is going to be the integral of sinx or (cosx -sinx)

My instinct working out for total area of the shaded:

integration of sin x between 0 and 45 + [integration of sinx -cos x in between 45 to 90]
 
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integral95

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Going to be a bit pedantic here, but you shouldn't be using your limits in terms of degree but in radians, it could create a lot of awkward scaling factors especially if you're combining trig functions with some linear function.

e.g

wouldn't give you the right value for the area under the curve.
 

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