What is area 15cos(x),15sin(x),[0, pi/2 ] ?

The answer to area 15cos(x),15sin(x),[0, pi/2 ] is 30sqrt(2)-30

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area 15cos(x),15sin(x),[0, pi/2 ]

area

15 cos (x), 15 sin (x), [0, \frac{π}{2}]

302 - 30

Decimal

12.42640 \dots

Solution steps

Apply the area formula:

\int_{0}^{\frac{π}{2}} ∣ 15 cos (x) - 15 sin (x) ∣ d x

Solve

\int_{0}^{\frac{π}{2}} ∣ 15 cos (x) - 15 sin (x) ∣ d x : 302 - 30

The area is:

= 302 - 30

What is area 15cos(x),15sin(x),[0, pi/2 ] ?
The answer to area 15cos(x),15sin(x),[0, pi/2 ] is 30sqrt(2)-30