What is the integral from 0 to ln(3) of xe^x ?

The integral from 0 to ln(3) of xe^x is 3ln(3)-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to ln(3) of xe^x

\int_{0}^{l n (3)} x e^{x} d x

3 ln (3) - 2

Decimal Notation

1.29583 \dots

Solution steps

\int_{0}^{l n (3)} x e^{x} d x

Apply Integration By Parts

: [e^{x} x - \int e^{x} d x]_{0}^{l n (3)}

= [e^{x} x - \int e^{x} d x]_{0}^{l n (3)}

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

= [e^{x} x - e^{x}]_{0}^{l n (3)}

Compute the boundaries:

3 ln (3) - 2

= 3 ln (3) - 2

f (x) = - 2 x e^{- x^{2}}

\int \frac{1}{( y - 1 ) ^{2}} d y

z \to 2 πi lim (e^{z} - e^{- z})

\int_{4}^{6} \frac{1}{t ^{2} - 9} d t

\frac{d}{d x} (\frac{1}{1 + y ^{2}} + cos (x) - 2 x y)

What is the integral from 0 to ln(3) of xe^x ?
The integral from 0 to ln(3) of xe^x is 3ln(3)-2