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Popular >

integral of 8+7^x

Solution

\int 8 + 7^{x} d x

Solution

8 x + \frac{7 ^{x}}{ln ( 7 )} + C

Solution steps

\int 8 + 7^{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 7^{x} d x

\int 8 d x = 8 x

\int 7^{x} d x = \frac{7 ^{x}}{ln ( 7 )}

= 8 x + \frac{7 ^{x}}{ln ( 7 )}

Add a constant to the solution

= 8 x + \frac{7 ^{x}}{ln ( 7 )} + C

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Frequently Asked Questions (FAQ)

What is the integral of 8+7^x ?
The integral of 8+7^x is 8x+(7^x)/(ln(7))+C