What is area y= 3/2 x,y=7-x^2 ?

The answer to area y= 3/2 x,y=7-x^2 is 1331/48

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area y= 3/2 x,y=7-x^2

area

y = \frac{3}{2} x, y = 7 - x^{2}

\frac{1331}{48}

Decimal

27.72916 \dots

Solution steps

Apply the area formula:

\int_{- \frac{7}{2}}^{2} \frac{3}{2} x - (7 - x^{2}) d x

Solve

\int_{- \frac{7}{2}}^{2} \frac{3}{2} x - (7 - x^{2}) d x : \frac{1331}{48}

The area is:

= \frac{1331}{48}

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