What is the integral from-1 to 3 of e^x ?

The integral from-1 to 3 of e^x is e^3-1/e

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integral from-1 to 3 of e^x

\int_{- 1}^{3} e^{x} d x

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

Decimal

19.71765 \dots

Solution steps

\int_{- 1}^{3} e^{x} d x

Use the common integral:

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

= [e^{x}]_{- 1}^{3}

Compute the boundaries:

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

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

What is the integral from-1 to 3 of e^x ?
The integral from-1 to 3 of e^x is e^3-1/e