What is area x=-2,x=2,y=2x^2+12,y=0 ?

The answer to area x=-2,x=2,y=2x^2+12,y=0 is 176/3

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area x=-2,x=2,y=2x^2+12,y=0

area

x = - 2, x = 2, y = 2 x^{2} + 12, y = 0

\frac{176}{3}

Decimal Notation

58.66666 \dots

Solution steps

Apply the area formula:

\int_{- 2}^{2} 2 x^{2} + 12 d x

Solve

\int_{- 2}^{2} 2 x^{2} + 12 d x : \frac{176}{3}

The area is:

= \frac{176}{3}

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\frac{d ^{2}}{d x ^{2}} (2 x^{- 7})

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What is area x=-2,x=2,y=2x^2+12,y=0 ?
The answer to area x=-2,x=2,y=2x^2+12,y=0 is 176/3