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

The integral from-1 to 1 of e^t is e-1/e

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integral from-1 to 1 of e^t

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

e - \frac{1}{e}

Decimal

2.35040 \dots

Solution steps

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

Use the common integral:

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

= [e^{t}]_{- 1}^{1}

Compute the boundaries:

e - \frac{1}{e}

= e - \frac{1}{e}

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