What is the integral of 4e^{3.5x} ?

The integral of 4e^{3.5x} is 1.14285…e^{3.5x}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4e^{3.5x}

\int 4 e^{3.5 x} d x

1.14285 \dots e^{3.5 x} + C

Solution steps

\int 4 e^{3.5 x} d x

Take the constant out:

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

= 4 \cdot \int e^{3.5 x} d x

Apply u-substitution

: \int e^{u} \frac{1}{3.5} d u

= 4 \cdot \int e^{u} \frac{1}{3.5} d u

Take the constant out:

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

= 4 \cdot \frac{1}{3.5} \cdot \int e^{u} d u

Simplify

= 4 \cdot 0.28571 \dots \cdot \int e^{u} d u

Use the common integral:

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

= 4 \cdot 0.28571 \dots e^{u}

Substitute back

u = 3.5 x

= 4 \cdot 0.28571 \dots e^{3.5 x}

Simplify

= 1.14285 \dots e^{3.5 x}

Add a constant to the solution

= 1.14285 \dots e^{3.5 x} + C

\int (5 sinh (x) + x^{5}) d x

\int \frac{12 + 3 e ^{2 t}}{e ^{2 t}} d t

\int - 4 \frac{1 + x}{1 - x} d x

\int (4 x + 1) 2 x^{2} + x d x

\int x cot^{2} (2) x^{2} d x

What is the integral of 4e^{3.5x} ?
The integral of 4e^{3.5x} is 1.14285…e^{3.5x}+C