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Popular >

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

Popular Examples

integral of sin(x^3)integral

sin (x^{3})

integral of (4x+10)/(x^2+5x+6)

\int \frac{4 x + 10}{x ^{2} + 5 x + 6} d x

integral of 6x^2-6x-72

\int 6 x^{2} - 6 x - 72 d x

integral of t/(t^2-1)

\int \frac{t}{t ^{2} - 1} d t

integral of (x+1)/(2x^2+4x+3)

\int \frac{x + 1}{2 x ^{2} + 4 x + 3} d x

Frequently Asked Questions (FAQ)

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