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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

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

Graph

Popular Examples

integral from 5 to 7 of x^2+2x-16

\int_{5}^{7} x^{2} + 2 x - 16 d x

integral from 1 to 9 of x^{-1/2}

\int_{1}^{9} x^{- \frac{1}{2}} d x

integral from 0 to L of sin^2((npi)/L x)

\int_{0}^{L} sin^{2} (\frac{nπ}{L} x) d x

integral from pi to 3pi of x^2sin(x/2)

\int_{π}^{3 π} x^{2} sin (\frac{x}{2}) d x

integral from 0 to L of (L-x)

\int_{0}^{L} (L - x) 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