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Popular >

integral of 2^x*3^x

Solution

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

Solution

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

Solution steps

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

Simplify

2^{x} \cdot 3^{x} : 6^{x}

= \int 6^{x} d x

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

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

Add a constant to the solution

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

Popular Examples

integral of 2sin(2x)-3e^x

\int 2 sin (2 x) - 3 e^{x} d x

integral of (x^2+3)/(xsqrt(x^2-4))

\int \frac{x ^{2} + 3}{x x ^{2} - 4} d x

integral of x^3+x-1/(x^2)

\int x^{3} + x - \frac{1}{x ^{2}} d x

integral of (sin(x))/(sin(x))

\int \frac{sin ( x )}{sin ( x )} d x

integral of (sin^3(x))/(1+cos^2(x))

\int \frac{sin ^{3} ( x )}{1 + cos ^{2} ( x )} d x

Frequently Asked Questions (FAQ)

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