What is the integral from ln(2) to ln(8) of e^x ?

The integral from ln(2) to ln(8) of e^x is 6

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integral from ln(2) to ln(8) of e^x

\int_{l n (2)}^{l n (8)} e^{x} d x

6

Solution steps

\int_{l n (2)}^{l n (8)} e^{x} d x

Use the common integral:

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

= [e^{x}]_{l n (2)}^{l n (8)}

Simplify

ln (8) : 3 ln (2)

= [e^{x}]_{l n (2)}^{3 l n (2)}

Compute the boundaries:

6

= 6

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What is the integral from ln(2) to ln(8) of e^x ?
The integral from ln(2) to ln(8) of e^x is 6