What is the integral of+ln(3)e^x ?

The integral of+ln(3)e^x is ln(3)e^x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of+ln(3)e^x

\int + ln (3) e^{x} d x

ln (3) e^{x} + C

Solution steps

\int ln (3) e^{x} d x

Take the constant out:

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

= ln (3) \cdot \int e^{x} d x

Use the common integral:

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

= ln (3) e^{x}

Add a constant to the solution

= ln (3) e^{x} + C