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

The integral from 0 to ln(x) of e^x is x-1

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

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

x - 1

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

x - 1

= x - 1

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What is the integral from 0 to ln(x) of e^x ?
The integral from 0 to ln(x) of e^x is x-1