Question 11(g) | BetaMath

Question 11(g)

The region, $R$ , is bounded by the curves $y = \sin{x}$ , $y = x$ and the line $\displaystyle x =\frac{\pi}{2}$ as shown in the diagram.

Diagram of region R

Find the area of the region $R$ .

Solution

This is an integration of the difference between the two curves, between $x = 0$ and $\displaystyle x =\frac{\pi}{2}$

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