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Popular Calculus >

integral of-3^x

Solution

\int - 3^{x} d x

Solution

- \frac{3 ^{x}}{ln ( 3 )} + C

Solution steps

\int - 3^{x} d x

Take the constant out:

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

= - \int 3^{x} d x

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

= - \frac{3 ^{x}}{ln ( 3 )}

Add a constant to the solution

= - \frac{3 ^{x}}{ln ( 3 )} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-3^x ?
The integral of-3^x is -(3^x)/(ln(3))+C