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

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

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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

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

x \to - 7 - lim (\frac{x + 3}{x + 7})

\int \frac{t ^{2} + 1}{t} d t

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

\frac{d}{d x} (\frac{cos ( x )}{sec ( x )})

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