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Popular >

integral of 6^xe^x

Solution

\int 6^{x} e^{x} d x

Solution

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

Solution steps

\int 6^{x} e^{x} d x

Apply exponent rule:

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

6^{x} e^{x} = (6 e)^{x}

= \int (6 e)^{x} d x

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

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

Add a constant to the solution

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

Graph

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x \to \infty lim (1^{x})

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integral of (sin(x)cos(x))/(5+sin(x))

\int \frac{sin ( x ) cos ( x )}{5 + sin ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of 6^xe^x ?
The integral of 6^xe^x is ((6e)^x)/(ln(6e))+C