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

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

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

area

cos (x), sin (x), [0, \frac{π}{2}]

22 - 2

Decimal

0.82842 \dots

Solution steps

Apply the area formula:

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

Solve

\int_{0}^{\frac{π}{2}} ∣ cos (x) - sin (x) ∣ d x : 22 - 2

The area is:

= 22 - 2

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