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Q.

The area of one arc of y = sinx + cosx is $____$

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answer is 2.82.

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Detailed Solution

$A r e a = \int_{- \frac{π}{4}}^{\frac{3 π}{4}} (\sin x + \cos x) d x$

$A r e a = {(\sin x - \cos x)}_{- \frac{π}{4}}^{\frac{3 π}{4}} = \frac{2}{\sqrt{2}} + \frac{2}{\sqrt{2}} = 2 \sqrt{2}$ $A r e a = 2 (1.414) = 2.828$

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