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Popular Calculus >

integral of 2^x*7^x

Solution

\int 2^{x} \cdot 7^{x} d x

Solution

\frac{1 4 ^{x}}{ln ( 14 )} + C

Solution steps

\int 2^{x} \cdot 7^{x} d x

Simplify

2^{x} \cdot 7^{x} : 1 4^{x}

= \int 1 4^{x} d x

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

= \frac{1 4 ^{x}}{ln ( 14 )}

Add a constant to the solution

= \frac{1 4 ^{x}}{ln ( 14 )} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2^x*7^x ?
The integral of 2^x*7^x is (14^x)/(ln(14))+C