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Popular Calculus >

integral of e^x3^x

Solution

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

Solution

\frac{( e 3 ) ^{x}}{ln ( e 3 )} + C

Solution steps

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

Apply exponent rule:

a^{n} \cdot b^{n} = (a \cdot b)^{n}

e^{x} 3^{x} = (e 3)^{x}

= \int (e 3)^{x} d x

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

= \frac{( e 3 ) ^{x}}{ln ( e 3 )}

Add a constant to the solution

= \frac{( e 3 ) ^{x}}{ln ( e 3 )} + C

Graph

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\int sec (t) (7 sec (t) + 9 tan (t)) d t

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\int (5 x)^{2} d x

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\int (2 - x)^{\frac{5}{2}} d x

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\int \frac{1}{sin ^{6} ( x )} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of e^x3^x ?
The integral of e^x3^x is ((e3)^x)/(ln(e3))+C