What is the integral from-2 to 0 of e^x ?

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

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integral from-2 to 0 of e^x

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

1 - \frac{1}{e ^{2}}

Decimal

0.86466 \dots

Solution steps

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

Use the common integral:

\int e^{x} d x = e^{x}

= [e^{x}]_{- 2}^{0}

Compute the boundaries:

1 - \frac{1}{e ^{2}}

= 1 - \frac{1}{e ^{2}}

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\int_{- 1}^{1} e^{t} d t

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