What is the integral of 2.4e^{0.08t} ?

The integral of 2.4e^{0.08t} is 30e^{0.08t}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2.4e^{0.08t}

\int 2.4 e^{0.08 t} d t

30 e^{0.08 t} + C

Solution steps

\int 2.4 e^{0.08 t} d t

Take the constant out:

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

= 2.4 \cdot \int e^{0.08 t} d t

Apply u-substitution

: \int e^{u} \frac{1}{0.08} d u

= 2.4 \cdot \int e^{u} \frac{1}{0.08} d u

Take the constant out:

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

= 2.4 \cdot \frac{1}{0.08} \cdot \int e^{u} d u

Simplify

= 2.4 \cdot 12.5 \cdot \int e^{u} d u

Use the common integral:

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

= 2.4 \cdot 12.5 e^{u}

Substitute back

u = 0.08 t

= 2.4 \cdot 12.5 e^{0.08 t}

Simplify

= 30 e^{0.08 t}

Add a constant to the solution

= 30 e^{0.08 t} + C

\int \frac{1}{x + x + 2} d x

\int \frac{6 x ^{2} + 8}{2 x ^{3} + 8 x} d x

\int - 2 x e^{3 x} d x

\int \frac{1}{x ^{2} - 2 x - 4} d x

What is the integral of 2.4e^{0.08t} ?
The integral of 2.4e^{0.08t} is 30e^{0.08t}+C