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Popular >

integral of 0.5^x

Solution

\int 0. 5^{x} d x

Solution

- 1.44269 \dots \cdot 0. 5^{x} + C

Solution steps

\int 0. 5^{x} d x

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

= \frac{0. 5 ^{x}}{ln ( 0.5 )}

Simplify

\frac{0. 5 ^{x}}{ln ( 0.5 )} : - 1.44269 \dots \cdot 0. 5^{x}

= - 1.44269 \dots \cdot 0. 5^{x}

Add a constant to the solution

= - 1.44269 \dots \cdot 0. 5^{x} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 0.5^x ?
The integral of 0.5^x is -1.44269…*0.5^x+C