What is the integral of-2*3^{6x} ?

The integral of-2*3^{6x} is -(3^{6x-1})/(ln(3))+C

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integral of-2*3^{6x}

\int - 2 \cdot 3^{6 x} d x

- \frac{3 ^{6 x - 1}}{ln ( 3 )} + C

Solution steps

\int - 2 \cdot 3^{6 x} d x

Take the constant out:

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

= - 2 \cdot \int 3^{6 x} d x

Simplify

3^{6 x} : 72 9^{x}

= - 2 \cdot \int 72 9^{x} d x

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

= - 2 \cdot \frac{72 9 ^{x}}{ln ( 729 )}

Simplify

- 2 \cdot \frac{72 9 ^{x}}{ln ( 729 )} : - \frac{3 ^{6 x - 1}}{ln ( 3 )}

= - \frac{3 ^{6 x - 1}}{ln ( 3 )}

Add a constant to the solution

= - \frac{3 ^{6 x - 1}}{ln ( 3 )} + C

y = cot^{2} (x)

\frac{\partial}{\partial x} (x^{2} + y^{2} - z)

x \to 3 lim (π)

x y^{^{'}} + 2 y = 5 x

\frac{\partial}{\partial x} (\frac{t}{x + 1})

What is the integral of-2*3^{6x} ?
The integral of-2*3^{6x} is -(3^{6x-1})/(ln(3))+C