What is the integral from 2 to 6 of e^x ?

The integral from 2 to 6 of e^x is e^6-e^2

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integral from 2 to 6 of e^x

\int_{2}^{6} e^{x} d x

e^{6} - e^{2}

Decimal

396.03973 \dots

Solution steps

\int_{2}^{6} e^{x} d x

Use the common integral:

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

= [e^{x}]_{2}^{6}

Compute the boundaries:

e^{6} - e^{2}

= e^{6} - e^{2}

What is the integral from 2 to 6 of e^x ?
The integral from 2 to 6 of e^x is e^6-e^2