What is the integral of 0.6e^{-0.7x} ?

The integral of 0.6e^{-0.7x} is -0.85714…e^{-0.7x}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 0.6e^{-0.7x}

\int 0.6 e^{- 0.7 x} d x

- 0.85714 \dots e^{- 0.7 x} + C

Solution steps

\int 0.6 e^{- 0.7 x} d x

Take the constant out:

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

= 0.6 \cdot \int e^{- 0.7 x} d x

Apply u-substitution

: \int - \frac{1}{0.7} e^{u} d u

= 0.6 \cdot \int - \frac{1}{0.7} e^{u} d u

Take the constant out:

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

= 0.6 (- \frac{1}{0.7} \cdot \int e^{u} d u)

Simplify

= 0.6 (- 1.42857 \dots \cdot \int e^{u} d u)

Use the common integral:

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

= 0.6 (- 1.42857 \dots e^{u})

Substitute back

u = - 0.7 x

= 0.6 (- 1.42857 \dots e^{- 0.7 x})

Simplify

= - 0.85714 \dots e^{- 0.7 x}

Add a constant to the solution

= - 0.85714 \dots e^{- 0.7 x} + C

\int 3 x^{4} (2 x - 5) d x

\int \frac{x + 9}{x ^{2} + 5 x} d x

\int \frac{x e ^{x} + 5}{x} d x

\int \frac{2 x ^{4}}{x ^{5} + 1} d x

\int \frac{1}{a x} d x

What is the integral of 0.6e^{-0.7x} ?
The integral of 0.6e^{-0.7x} is -0.85714…e^{-0.7x}+C