What is the integral from ln(4) to ln(5) of e^x ?

The integral from ln(4) to ln(5) of e^x is 1

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integral from ln(4) to ln(5) of e^x

\int_{l n (4)}^{l n (5)} e^{x} d x

1

Solution steps

\int_{l n (4)}^{l n (5)} e^{x} d x

Use the common integral:

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

= [e^{x}]_{l n (4)}^{l n (5)}

Simplify

ln (4) : 2 ln (2)

= [e^{x}]_{2 l n (2)}^{l n (5)}

Compute the boundaries:

1

= 1

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What is the integral from ln(4) to ln(5) of e^x ?
The integral from ln(4) to ln(5) of e^x is 1