What is the integral from 2 to 3 of-2e^x ?

The integral from 2 to 3 of-2e^x is -2(e^3-e^2)

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integral from 2 to 3 of-2e^x

\int_{2}^{3} - 2 e^{x} d x

- 2 (e^{3} - e^{2})

Decimal Notation

- 25.39296 \dots

Solution steps

\int_{2}^{3} - 2 e^{x} d x

Take the constant out:

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

= - 2 \cdot \int_{2}^{3} e^{x} d x

Use the common integral:

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

= - 2 [e^{x}]_{2}^{3}

Compute the boundaries:

e^{3} - e^{2}

= - 2 (e^{3} - e^{2})

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What is the integral from 2 to 3 of-2e^x ?
The integral from 2 to 3 of-2e^x is -2(e^3-e^2)