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Popular Calculus >

area 1/x ,x^2,[1,e]

Solution

area

\frac{1}{x}, x^{2}, [1, e]

Solution

- 1 + \frac{e ^{3} - 1}{3}

+1

Decimal

5.36184 \dots

Solution steps

Apply the area formula:

\int_{1}^{e} \frac{1}{x} - x^{2} d x

Solve

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

The area is:

= - 1 + \frac{e ^{3} - 1}{3}

Graph

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Frequently Asked Questions (FAQ)

What is area 1/x ,x^2,[1,e] ?
The answer to area 1/x ,x^2,[1,e] is -1+(e^3-1)/3