What is area f(x)=((2-x^2))/2 ,[-5/4 , 5/4 ] ?

The answer to area f(x)=((2-x^2))/2 ,[-5/4 , 5/4 ] is 355/192

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area f(x)=((2-x^2))/2 ,[-5/4 , 5/4 ]

area

f (x) = \frac{( 2 - x ^{2} )}{2}, [- \frac{5}{4}, \frac{5}{4}]

\frac{355}{192}

Decimal Notation

1.84895 \dots

Solution steps

Apply the area formula:

\int_{- \frac{5}{4}}^{\frac{5}{4}} \frac{1}{2} 2 - x^{2} d x

Solve

\int_{- \frac{5}{4}}^{\frac{5}{4}} \frac{1}{2} 2 - x^{2} d x : \frac{355}{192}

The area is:

= \frac{355}{192}

k = 1 \sum \infty k^{3} e^{- k^{2}}

(x^{2} + y) d x + (x - e^{y}) d y = 0

y = 4

\frac{d}{d x} (\frac{1}{x ^{- 2}})

\frac{\partial}{\partial x} (\frac{e \cdot x}{c - x})

What is area f(x)=((2-x^2))/2 ,[-5/4 , 5/4 ] ?
The answer to area f(x)=((2-x^2))/2 ,[-5/4 , 5/4 ] is 355/192