What is the integral from 0 to 7 of 9-10e^{-0.3x} ?

The integral from 0 to 7 of 9-10e^{-0.3x} is 33.74854…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 7 of 9-10e^{-0.3x}

\int_{0}^{7} 9 - 10 e^{- 0.3 x} d x

33.74854 \dots

Solution steps

\int_{0}^{7} 9 - 10 e^{- 0.3 x} 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}^{7} 9 d x - \int_{0}^{7} 10 e^{- 0.3 x} d x

\int_{0}^{7} 9 d x = 63

\int_{0}^{7} 10 e^{- 0.3 x} d x = 29.25145 \dots

= 63 - 29.25145 \dots

Simplify

= 33.74854 \dots

\int_{0}^{4} \frac{1}{36 x ^{2} + 25} d x

\int_{5}^{15} x d x

\int_{0}^{1} \frac{2 x}{1 + x} d x

\int_{0}^{4} π (\frac{20 - 5 x}{4})^{2} d x

\int_{0}^{1} f (u) d u

What is the integral from 0 to 7 of 9-10e^{-0.3x} ?
The integral from 0 to 7 of 9-10e^{-0.3x} is 33.74854…