What is area xcos(x),-pi/2 , pi/2 ?

The answer to area xcos(x),-pi/2 , pi/2 is pi-2

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area xcos(x),-pi/2 , pi/2

area

x cos (x), - \frac{π}{2}, \frac{π}{2}

π - 2

Decimal

1.14159 \dots

Solution steps

Apply the area formula:

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

Solve

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

The area is:

= π - 2

\frac{\partial}{\partial x} (- cos (x) + x cos (y))

\frac{d}{d x} (x cos (x) cos (y))

\int e^{\frac{x}{2}} d x

\frac{d}{d x} (7 x^{- 12})

\frac{d}{d x} (4 x^{2} + 2 x)

What is area xcos(x),-pi/2 , pi/2 ?
The answer to area xcos(x),-pi/2 , pi/2 is pi-2