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Popular >

integral of ln(7)7^x

Solution

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

Solution

7^{x} + C

Solution steps

\int ln (7) \cdot 7^{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

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

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

Simplify

ln (7) \frac{7 ^{x}}{ln ( 7 )} : 7^{x}

= 7^{x}

Add a constant to the solution

= 7^{x} + C

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Frequently Asked Questions (FAQ)

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