What is the integral from 0 to 4 of e^t ?

The integral from 0 to 4 of e^t is e^4-1

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integral from 0 to 4 of e^t

\int_{0}^{4} e^{t} d t

e^{4} - 1

Decimal

53.59815 \dots

Solution steps

\int_{0}^{4} e^{t} d t

Use the common integral:

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

= [e^{t}]_{0}^{4}

Compute the boundaries:

e^{4} - 1

= e^{4} - 1

What is the integral from 0 to 4 of e^t ?
The integral from 0 to 4 of e^t is e^4-1