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

The answer to area y=-x^2-2x+3,y=-x+1 is 9/2

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area y=-x^2-2x+3,y=-x+1

area

y = - x^{2} - 2 x + 3, y = - x + 1

\frac{9}{2}

Decimal

4.5

Solution steps

Apply the area formula:

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

Solve

\int_{- 2}^{1} - x^{2} - 2 x + 3 - (- x + 1) d x : \frac{9}{2}

The area is:

= \frac{9}{2}