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Popular >

integral of 7^nln(7)

Solution

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

Solution

7^{n} + C

Solution steps

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

Take the constant out:

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

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

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

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

Simplify

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

= 7^{n}

Add a constant to the solution

= 7^{n} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 7^nln(7) ?
The integral of 7^nln(7) is 7^n+C