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Popular >

integral from 0 to 2 of (e^x-1)

Solution

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

Solution

e^{2} - 3

+1

Decimal Notation

4.38905 \dots

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

\int_{0}^{2} 1 d x = 2

= e^{2} - 1 - 2

Simplify

= e^{2} - 3

Popular Examples

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\int_{7}^{8} 6 lo g_{9} (t) d t

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\int_{0}^{\frac{π}{4}} 8 sin (x) d x

integral from 0 to pi/2 of ysin(x)

\int_{0}^{\frac{π}{2}} y sin (x) d x

integral from 2y^2-2 to y^2+y of y

\int_{2 y^{2} - 2}^{y^{2} + y} y d y

integral from-5 to 10 of 25-x^2

\int_{- 5}^{10} 25 - x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (e^x-1) ?
The integral from 0 to 2 of (e^x-1) is e^2-3