# Calc 1

Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area.
y = 6 sin x, 0 ≤ x ≤ π

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1. We use integration.
∫ y dx
= ∫ 6 sin(x) dx
= -6 cos(x) | from 0 to π
= -6 cos(π) - (-6 cos(0))
= -6(-1) - (-6)(1)
= 6 + 6
= 12

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2. How are you supposed to know that you need to use integration to do this?

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3. Because he said the area below the graph of the function he provided.
And Yes my name is Nael.

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