What is area 3/2 x^2,-1/2 x^2+2 ?

The answer to area 3/2 x^2,-1/2 x^2+2 is 8/3

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area 3/2 x^2,-1/2 x^2+2

area

\frac{3}{2} x^{2}, - \frac{1}{2} x^{2} + 2

\frac{8}{3}

Decimal Notation

2.66666 \dots

Solution steps

Apply the area formula:

\int_{- 1}^{1} \frac{3}{2} x^{2} - (- \frac{1}{2} x^{2} + 2) d x

Solve

\int_{- 1}^{1} \frac{3}{2} x^{2} - (- \frac{1}{2} x^{2} + 2) d x : \frac{8}{3}

The area is:

= \frac{8}{3}

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