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Popular Calculus >

integral of 1.05^x

Solution

\int 1.0 5^{x} d x

Solution

20.49593 \dots \cdot 1.0 5^{x} + C

Solution steps

\int 1.0 5^{x} d x

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

= \frac{1.0 5 ^{x}}{ln ( 1.05 )}

Simplify

\frac{1.0 5 ^{x}}{ln ( 1.05 )} : 20.49593 \dots \cdot 1.0 5^{x}

= 20.49593 \dots \cdot 1.0 5^{x}

Add a constant to the solution

= 20.49593 \dots \cdot 1.0 5^{x} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 1.05^x ?
The integral of 1.05^x is 20.49593…*1.05^x+C