What is area y=4x^2-1,y=0,x=(-1)/2 ,x=1 ?

The answer to area y=4x^2-1,y=0,x=(-1)/2 ,x=1 is 4/3

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area y=4x^2-1,y=0,x=(-1)/2 ,x=1

area

y = 4 x^{2} - 1, y = 0, x = \frac{- 1}{2}, x = 1

\frac{4}{3}

Decimal Notation

1.33333 \dots

Solution steps

Apply the area formula:

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

Solve

\int_{\frac{- 1}{2}}^{1} 4 x^{2} - 1 d x : \frac{4}{3}

The area is:

= \frac{4}{3}

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What is area y=4x^2-1,y=0,x=(-1)/2 ,x=1 ?
The answer to area y=4x^2-1,y=0,x=(-1)/2 ,x=1 is 4/3