What is the integral from 0 to 120 of 5-5e^{-0.2x} ?

The integral from 0 to 120 of 5-5e^{-0.2x} is (25)/(e^{24)}+575

Popular >

integral from 0 to 120 of 5-5e^{-0.2x}

\int_{0}^{120} 5 - 5 e^{- 0.2 x} d x

\frac{25}{e ^{24}} + 575

Solution steps

\int_{0}^{120} 5 - 5 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_{0}^{120} 5 d x - \int_{0}^{120} 5 e^{- 0.2 x} d x

\int_{0}^{120} 5 d x = 600

\int_{0}^{120} 5 e^{- 0.2 x} d x = 25 (1 - \frac{1}{e ^{24}})

= 600 - 25 (1 - \frac{1}{e ^{24}})

Simplify

600 - 25 (1 - \frac{1}{e ^{24}}) : \frac{25}{e ^{24}} + 575

= \frac{25}{e ^{24}} + 575

\int_{\frac{1}{4}}^{\frac{1}{2}} \frac{x}{2} d x

\int_{0}^{x} 2 d x

\int_{1}^{2} (3 x^{3} + 4 x^{2} - 3 x + 2) d x

\int_{1}^{2} \frac{1}{( x + y ) ^{2}} d y

\int_{1}^{e} \frac{x ^{6} + 1}{x} d x

What is the integral from 0 to 120 of 5-5e^{-0.2x} ?
The integral from 0 to 120 of 5-5e^{-0.2x} is (25)/(e^{24)}+575