What is the integral from 0 to ln(19) of xe^x ?

The integral from 0 to ln(19) of xe^x is 19ln(19)-18

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to ln(19) of xe^x

\int_{0}^{l n (19)} x e^{x} d x

19 ln (19) - 18

Decimal

37.94434 \dots

Solution steps

\int_{0}^{l n (19)} x e^{x} d x

Apply Integration By Parts

= [e^{x} x - \int e^{x} d x]_{0}^{l n (19)}

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

= [e^{x} x - e^{x}]_{0}^{l n (19)}

Compute the boundaries:

19 ln (19) - 18

= 19 ln (19) - 18

What is the integral from 0 to ln(19) of xe^x ?
The integral from 0 to ln(19) of xe^x is 19ln(19)-18