What is the integral from 1 to 2 of xe^x ?

The integral from 1 to 2 of xe^x is e^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 1 to 2 of xe^x

\int_{1}^{2} x e^{x} d x

e^{2}

Decimal

7.38905 \dots

Solution steps

\int_{1}^{2} x e^{x} d x

Apply Integration By Parts

= [e^{x} x - \int e^{x} d x]_{1}^{2}

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

= [e^{x} x - e^{x}]_{1}^{2}

Compute the boundaries:

e^{2}

= e^{2}

d er i v a t i v e f (x) = 5^{s i n (x)}

\int_{1}^{e} ln (11 x) d x

\int 5^{x^{2}} d x

\int \frac{x}{36 - x ^{2}} d x

\int \frac{5 x ^{3} + 5 x}{x - 1} d x

What is the integral from 1 to 2 of xe^x ?
The integral from 1 to 2 of xe^x is e^2