What is the integral of e^x2x ?

The integral of e^x2x is 2(e^xx-e^x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^x2x

\int e^{x} 2 x d x

2 (e^{x} x - e^{x}) + C

Solution steps

\int e^{x} \cdot 2 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int e^{x} x d x

Apply Integration By Parts

: e^{x} x - \int e^{x} d x

= 2 (e^{x} x - \int e^{x} d x)

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

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

Add a constant to the solution

= 2 (e^{x} x - e^{x}) + C

\frac{d}{d x} ((\frac{2}{x} + x^{5}) (x^{3} + 1))

\frac{\partial}{\partial p} (arctan (pq r))

- cot (x) = \frac{v ^{'}}{v ^{2}}

\int tan^{4} (11 x) d x

\frac{\partial}{\partial z} (4 sin^{2} (z))