What is the integral from 0 to ln(18) of xe^x ?

The integral from 0 to ln(18) of xe^x is 18ln(18)-17

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integral from 0 to ln(18) of xe^x

\int_{0}^{l n (18)} x e^{x} d x

18 ln (18) - 17

Decimal Notation

35.02669 \dots

Solution steps

\int_{0}^{l n (18)} x e^{x} d x

Apply Integration By Parts

: [e^{x} x - \int e^{x} d x]_{0}^{l n (18)}

= [e^{x} x - \int e^{x} d x]_{0}^{l n (18)}

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

= [e^{x} x - e^{x}]_{0}^{l n (18)}

Compute the boundaries:

18 ln (18) - 17

= 18 ln (18) - 17

\frac{d}{d x} (e^{i x} + e^{- i x})

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\frac{d y}{d x} = (y + 4 x)^{2}

\int_{0}^{1} π^{9}

What is the integral from 0 to ln(18) of xe^x ?
The integral from 0 to ln(18) of xe^x is 18ln(18)-17