What is the integral from 0 to 14 of (10e^x) ?

The integral from 0 to 14 of (10e^x) is 10(e^{14}-1)

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integral from 0 to 14 of (10e^x)

\int_{0}^{14} (10 e^{x}) d x

10 (e^{14} - 1)

Decimal

12026032.84164 \dots

Solution steps

\int_{0}^{14} 10 e^{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 10 \cdot \int_{0}^{14} e^{x} d x

Use the common integral:

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

= 10 [e^{x}]_{0}^{14}

Compute the boundaries:

e^{14} - 1

= 10 (e^{14} - 1)

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What is the integral from 0 to 14 of (10e^x) ?
The integral from 0 to 14 of (10e^x) is 10(e^{14}-1)