What is the integral from ln(0.5) to 0 of e^x ?

The integral from ln(0.5) to 0 of e^x is 0.5

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integral from ln(0.5) to 0 of e^x

\int_{l n (0.5)}^{0} e^{x} d x

0.5

Solution steps

\int_{l n (0.5)}^{0} e^{x} d x

Use the common integral:

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

= [e^{x}]_{l n (0.5)}^{0}

Refine to a decimal form

= [e^{x}]_{- 0.69314 \dots}^{0}

Compute the boundaries:

0.5

= 0.5

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What is the integral from ln(0.5) to 0 of e^x ?
The integral from ln(0.5) to 0 of e^x is 0.5