What is the integral of 7e^{-0.8x} ?

The integral of 7e^{-0.8x} is -8.75e^{-0.8x}+C

Popular >

integral of 7e^{-0.8x}

\int 7 e^{- 0.8 x} d x

- 8.75 e^{- 0.8 x} + C

Solution steps

\int 7 e^{- 0.8 x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 7 \cdot \int e^{- 0.8 x} d x

Apply u-substitution

: \int - \frac{1}{0.8} e^{u} d u

= 7 \cdot \int - \frac{1}{0.8} e^{u} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 7 (- \frac{1}{0.8} \cdot \int e^{u} d u)

Simplify

= 7 (- 1.25 \cdot \int e^{u} d u)

Use the common integral:

\int e^{u} d u = e^{u}

= 7 (- 1.25 e^{u})

Substitute back

u = - 0.8 x

= 7 (- 1.25 e^{- 0.8 x})

Simplify

= - 8.75 e^{- 0.8 x}

Add a constant to the solution

= - 8.75 e^{- 0.8 x} + C

x \to \infty lim (x \frac{1}{2})

x \to 0 lim (x^{2} csc^{2} (\frac{x}{2}))

(- 9, 6), (- 6, - 9)

\int r^{4} (7 - \frac{r ^{5}}{10})^{3} d r

y^{^{'}} = \frac{3 t ^{2} - e ^{t}}{2 y - 5}

What is the integral of 7e^{-0.8x} ?
The integral of 7e^{-0.8x} is -8.75e^{-0.8x}+C