What is the integral of 2^x3^{2x}5^{3x} ?

The integral of 2^x3^{2x}5^{3x} is (2250^x)/(ln(2250))+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 2^x3^{2x}5^{3x}

\int 2^{x} 3^{2 x} 5^{3 x} d x

\frac{225 0 ^{x}}{ln ( 2250 )} + C

Solution steps

\int 2^{x} \cdot 3^{2 x} \cdot 5^{3 x} d x

Simplify

2^{x} \cdot 3^{2 x} \cdot 5^{3 x} : 225 0^{x}

= \int 225 0^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= \frac{225 0 ^{x}}{ln ( 2250 )}

Add a constant to the solution

= \frac{225 0 ^{x}}{ln ( 2250 )} + C

What is the integral of 2^x3^{2x}5^{3x} ?
The integral of 2^x3^{2x}5^{3x} is (2250^x)/(ln(2250))+C