What is the integral from 8 to 11 of 4-10e^{-0.2x} ?

The integral from 8 to 11 of 4-10e^{-0.2x} is 7.44533…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 8 to 11 of 4-10e^{-0.2x}

\int_{8}^{11} 4 - 10 e^{- 0.2 x} d x

7.44533 \dots

Solution steps

\int_{8}^{11} 4 - 10 e^{- 0.2 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_{8}^{11} 4 d x - \int_{8}^{11} 10 e^{- 0.2 x} d x

\int_{8}^{11} 4 d x = 12

\int_{8}^{11} 10 e^{- 0.2 x} d x = 4.55466 \dots

= 12 - 4.55466 \dots

Simplify

= 7.44533 \dots

\int_{- 3}^{4} x - x^{2} + 12 d x

\int_{0}^{4} 2 \cdot 6^{- 2 x} d x

\int_{0}^{20} x^{2} - 13 x + 70 d x

\int_{0}^{1} x + y + z d x

\int_{0}^{L} (L - x)^{2} d x

What is the integral from 8 to 11 of 4-10e^{-0.2x} ?
The integral from 8 to 11 of 4-10e^{-0.2x} is 7.44533…