What is the integral from 0 to ln(11) of xe^x ?

The integral from 0 to ln(11) of xe^x is 11ln(11)-10

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integral from 0 to ln(11) of xe^x

\int_{0}^{l n (11)} x e^{x} d x

11 ln (11) - 10

Decimal Notation

16.37684 \dots

Solution steps

\int_{0}^{l n (11)} x e^{x} d x

Apply Integration By Parts

: [e^{x} x - \int e^{x} d x]_{0}^{l n (11)}

= [e^{x} x - \int e^{x} d x]_{0}^{l n (11)}

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

= [e^{x} x - e^{x}]_{0}^{l n (11)}

Compute the boundaries:

11 ln (11) - 10

= 11 ln (11) - 10

\int (3 - 5 x^{2}) d x

\int sin (2 - x) d x

\frac{d}{d x} (- \frac{50}{x ^{2}})

\frac{\partial}{\partial x} (\frac{2 π r ^{\frac{3}{2}}}{y x})

y = x, y = 2 x 81 - x^{2}

What is the integral from 0 to ln(11) of xe^x ?
The integral from 0 to ln(11) of xe^x is 11ln(11)-10