What is the integral from 0 to ln(4) of e^x ?

The integral from 0 to ln(4) of e^x is 3

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integral from 0 to ln(4) of e^x

\int_{0}^{l n (4)} e^{x} d x

3

Solution steps

\int_{0}^{l n (4)} e^{x} d x

Use the common integral:

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

= [e^{x}]_{0}^{l n (4)}

Simplify

ln (4) : 2 ln (2)

= [e^{x}]_{0}^{2 l n (2)}

Compute the boundaries:

3

= 3

\int_{- 1}^{- 1} 2 x d x

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\int_{0}^{2 π} 4 sin (x) d x

\int_{0}^{10} sin (x) d x

What is the integral from 0 to ln(4) of e^x ?
The integral from 0 to ln(4) of e^x is 3