What is area f(x)=cos(x),-pi/2 , pi/2 ?

The answer to area f(x)=cos(x),-pi/2 , pi/2 is 2

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area f(x)=cos(x),-pi/2 , pi/2

area

f (x) = cos (x), - \frac{π}{2}, \frac{π}{2}

2

Solution steps

Apply the area formula:

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

Solve

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

The area is:

= 2

x y^{^{'}} = y + y^{3}

\frac{d y}{d x} + \frac{y}{x} = x y^{2}

x \to 7 lim (\frac{1}{∣ 7 - x ∣})

\int (\frac{x}{y} + \frac{y}{x}) d y

y = \frac{2 x - 3}{3 x + 1}

What is area f(x)=cos(x),-pi/2 , pi/2 ?
The answer to area f(x)=cos(x),-pi/2 , pi/2 is 2