What is the integral of 5e^{-0.8x} ?

The integral of 5e^{-0.8x} is -6.25e^{-0.8x}+C

Popular >

integral of 5e^{-0.8x}

\int 5 e^{- 0.8 x} d x

- 6.25 e^{- 0.8 x} + C

Solution steps

\int 5 e^{- 0.8 x} d x

Take the constant out:

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

= 5 \cdot \int e^{- 0.8 x} d x

Apply u-substitution

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

= 5 \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

= 5 (- \frac{1}{0.8} \cdot \int e^{u} d u)

Simplify

= 5 (- 1.25 \cdot \int e^{u} d u)

Use the common integral:

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

= 5 (- 1.25 e^{u})

Substitute back

u = - 0.8 x

= 5 (- 1.25 e^{- 0.8 x})

Simplify

= - 6.25 e^{- 0.8 x}

Add a constant to the solution

= - 6.25 e^{- 0.8 x} + C

y = 6 + 4 x csc (x)

n = 1 \sum \infty \frac{3}{( 4 n ^{2} - 1 )}

\frac{\partial}{\partial y} ((2 x + 3 y)^{10})

x y^{^{'}} = y - x^{2} + y^{2}

x y^{^{'}} = 2 y

What is the integral of 5e^{-0.8x} ?
The integral of 5e^{-0.8x} is -6.25e^{-0.8x}+C