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Popular Calculus >

integral of 3^x4^x

Solution

\int 3^{x} 4^{x} d x

Solution

\frac{1 2 ^{x}}{ln ( 12 )} + C

Solution steps

\int 3^{x} \cdot 4^{x} d x

Simplify

3^{x} \cdot 4^{x} : 1 2^{x}

= \int 1 2^{x} d x

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

= \frac{1 2 ^{x}}{ln ( 12 )}

Add a constant to the solution

= \frac{1 2 ^{x}}{ln ( 12 )} + C

Graph

Popular Examples

integral of 6x(6x^2+1)^{5/2}

\int 6 x (6 x^{2} + 1)^{\frac{5}{2}} d x

integral of (x-1/(x^2))(x^2+2/x)^7

\int (x - \frac{1}{x ^{2}}) (x^{2} + \frac{2}{x})^{7} d x

integral of ((x^2)/2)^2

\int (\frac{x ^{2}}{2})^{2} d x

integral of (x^{11})/((x^6+1)^{100)}

\int \frac{x ^{11}}{( x ^{6} + 1 ) ^{100}} d x

integral of 4/(x^9)

\int \frac{4}{x ^{9}} d x

Frequently Asked Questions (FAQ)

What is the integral of 3^x4^x ?
The integral of 3^x4^x is (12^x)/(ln(12))+C