What is the integral from 5 to 10 of ax-10b ?

The integral from 5 to 10 of ax-10b is (75a)/2-50b

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 5 to 10 of ax-10b

\int_{5}^{10} a x - 10 b d x

\frac{75 a}{2} - 50 b

Solution steps

\int_{5}^{10} a x - 10 b 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_{5}^{10} a x d x - \int_{5}^{10} 10 b d x

\int_{5}^{10} a x d x = \frac{75 a}{2}

\int_{5}^{10} 10 b d x = 50 b

= \frac{75 a}{2} - 50 b

What is the integral from 5 to 10 of ax-10b ?
The integral from 5 to 10 of ax-10b is (75a)/2-50b