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Popular >

integral of 4^{3x}

Solution

\int 4^{3 x} d x

Solution

\frac{2 ^{6 x - 1}}{3 ln ( 2 )} + C

Solution steps

\int 4^{3 x} d x

Simplify

4^{3 x} : 6 4^{x}

= \int 6 4^{x} d x

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

= \frac{6 4 ^{x}}{ln ( 64 )}

Simplify

\frac{6 4 ^{x}}{ln ( 64 )} : \frac{2 ^{6 x - 1}}{3 ln ( 2 )}

= \frac{2 ^{6 x - 1}}{3 ln ( 2 )}

Add a constant to the solution

= \frac{2 ^{6 x - 1}}{3 ln ( 2 )} + C

Popular Examples

derivative of 6t^2+8 derivative of

6 t^{2} + 8

integral of (14)/(14+e^x)

\int \frac{14}{14 + e ^{x}} d x

f(t)=t^3-2t^2+5t+4

f (t) = t^{3} - 2 t^{2} + 5 t + 4

tangent of f(x)=(e^{-x})/(x+1),\at x=1 tangent of

f (x) = \frac{e ^{- x}}{x + 1}, at x = 1

derivative of x/((1-x))

\frac{d}{d x} (\frac{x}{( 1 - x )})

Frequently Asked Questions (FAQ)

What is the integral of 4^{3x} ?
The integral of 4^{3x} is (2^{6x-1})/(3ln(2))+C