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Popular Calculus >

integral of (8+5^x)

Solution

\int (8 + 5^{x}) d x

Solution

8 x + \frac{5 ^{x}}{ln ( 5 )} + C

Solution steps

\int 8 + 5^{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 8 d x + \int 5^{x} d x

\int 8 d x = 8 x

\int 5^{x} d x = \frac{5 ^{x}}{ln ( 5 )}

= 8 x + \frac{5 ^{x}}{ln ( 5 )}

Add a constant to the solution

= 8 x + \frac{5 ^{x}}{ln ( 5 )} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (8+5^x) ?
The integral of (8+5^x) is 8x+(5^x)/(ln(5))+C