What is the integral of e^x-e^{2x} ?

The integral of e^x-e^{2x} is e^x-1/2 e^{2x}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^x-e^{2x}

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

e^{x} - \frac{1}{2} e^{2 x} + C

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

\int e^{2 x} d x = \frac{1}{2} e^{2 x}

= e^{x} - \frac{1}{2} e^{2 x}

Add a constant to the solution

= e^{x} - \frac{1}{2} e^{2 x} + C

\frac{1}{s - 2}

sin (3 x^{5} + 5 x^{4})

x \frac{d y}{d x} + \frac{y}{x + 1} = x (x + 1)

x \to - 1 lim (\frac{x ^{100}}{1})

\int sin^{2} (\frac{nπ x}{L}) d x

What is the integral of e^x-e^{2x} ?
The integral of e^x-e^{2x} is e^x-1/2 e^{2x}+C