What is the integral of e^{50x} ?

The integral of e^{50x} is 1/50 e^{50x}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^{50x}

\int e^{50 x} d x

\frac{1}{50} e^{50 x} + C

Solution steps

\int e^{50 x} d x

Apply u-substitution

: \int e^{u} \frac{1}{50} d u

= \int e^{u} \frac{1}{50} d u

Take the constant out:

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

= \frac{1}{50} \cdot \int e^{u} d u

Use the common integral:

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

= \frac{1}{50} e^{u}

Substitute back

u = 50 x

= \frac{1}{50} e^{50 x}

Add a constant to the solution

= \frac{1}{50} e^{50 x} + C

\int 4 x^{3} e^{x^{4} + 1} d x

\int \frac{( x - 1 ) ^{2}}{81} d x

\int \frac{e ^{x}}{9 + 4 e ^{2 x}} d x

\int (x^{7} + 7 x + \frac{7}{x} + 7) d x

\int \frac{( x + 2 )}{( x + 1 ) ( x - 1 )} d x