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Popular >

integral of 6^{x-2}

Solution

\int 6^{x - 2} d x

Solution

\frac{6 ^{x - 2}}{ln ( 6 )} + C

Solution steps

\int 6^{x - 2} d x

Apply u-substitution

: \int 6^{u} d u

= \int 6^{u} d u

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

= \frac{6 ^{u}}{ln ( 6 )}

Substitute back

u = x - 2

= \frac{6 ^{x - 2}}{ln ( 6 )}

Add a constant to the solution

= \frac{6 ^{x - 2}}{ln ( 6 )} + C

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Frequently Asked Questions (FAQ)

What is the integral of 6^{x-2} ?
The integral of 6^{x-2} is (6^{x-2})/(ln(6))+C