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Popular Calculus >

integral of 100^x

Solution

\int 10 0^{x} d x

Solution

\frac{2 5 ^{x} \cdot 2 ^{2 x - 1}}{ln ( 10 )} + C

Solution steps

\int 10 0^{x} d x

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

= \frac{10 0 ^{x}}{ln ( 100 )}

Simplify

\frac{10 0 ^{x}}{ln ( 100 )} : \frac{2 5 ^{x} \cdot 2 ^{2 x - 1}}{ln ( 10 )}

= \frac{2 5 ^{x} \cdot 2 ^{2 x - 1}}{ln ( 10 )}

Add a constant to the solution

= \frac{2 5 ^{x} \cdot 2 ^{2 x - 1}}{ln ( 10 )} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 100^x ?
The integral of 100^x is (25^x*2^{2x-1})/(ln(10))+C