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Popular Calculus >

area y=-x,y=-x^2+ex

Solution

area

y = - x, y = - x^{2} + e x

Solution

\frac{e ^{3} + 3 e ^{2} + 3 e + 1}{6}

+1

Decimal

8.56792 \dots

Solution steps

Apply the area formula:

\int_{0}^{e + 1} x - x^{2} + e x d x

Solve

\int_{0}^{e + 1} x - x^{2} + e x d x : \frac{e ^{3} + 3 e ^{2} + 3 e + 1}{6}

The area is:

= \frac{e ^{3} + 3 e ^{2} + 3 e + 1}{6}

Graph

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\int_{- 5}^{5} 1 + x^{2} d x

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Frequently Asked Questions (FAQ)

What is area y=-x,y=-x^2+ex ?
The answer to area y=-x,y=-x^2+ex is (e^3+3e^2+3e+1)/6