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Popular >

integral of 13^x+1

Solution

integral

1 3^{x} + 1

Solution

\frac{1 3 ^{x}}{ln ( 13 )} + x + C

Solution steps

\int 1 3^{x} + 1 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 1 3^{x} d x + \int 1 d x

\int 1 3^{x} d x = \frac{1 3 ^{x}}{ln ( 13 )}

\int 1 d x = x

= \frac{1 3 ^{x}}{ln ( 13 )} + x

Add a constant to the solution

= \frac{1 3 ^{x}}{ln ( 13 )} + x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 13^x+1 ?
The integral of 13^x+1 is (13^x)/(ln(13))+x+C