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

The integral from 0 to ln(2) of xe^x is 2ln(2)-1

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(2) of xe^x

\int_{0}^{l n (2)} x e^{x} d x

2 ln (2) - 1

Solution steps

\int_{0}^{l n (2)} x e^{x} d x

Apply Integration By Parts

: [e^{x} x - \int e^{x} d x]_{0}^{l n (2)}

= [e^{x} x - \int e^{x} d x]_{0}^{l n (2)}

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

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

Compute the boundaries:

2 ln (2) - 1

= 2 ln (2) - 1

\frac{\partial}{\partial x} (z \cdot cos (y \cdot x))

y^{^{'}} = 2 y + e^{x}

4 cos (cos (x))

\int \frac{x ^{2}}{3 - x} d x

3 x^{2} cos (5 x)

What is the integral from 0 to ln(2) of xe^x ?
The integral from 0 to ln(2) of xe^x is 2ln(2)-1