What is the integral from 0 to 0.4 of cos(x)+ln(x+1) ?

The integral from 0 to 0.4 of cos(x)+ln(x+1) is 0.46047…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 0.4 of cos(x)+ln(x+1)

\int_{0}^{0.4} cos (x) + ln (x + 1) d x

0.46047 \dots

Solution steps

\int_{0}^{0.4} cos (x) + ln (x + 1) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{0.4} cos (x) d x + \int_{0}^{0.4} ln (x + 1) d x

\int_{0}^{0.4} cos (x) d x = 0.38941 \dots

\int_{0}^{0.4} ln (x + 1) d x = 0.07106 \dots

= 0.38941 \dots + 0.07106 \dots

Simplify

= 0.46047 \dots

What is the integral from 0 to 0.4 of cos(x)+ln(x+1) ?
The integral from 0 to 0.4 of cos(x)+ln(x+1) is 0.46047…