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Popular >

integral of-2z

Solution

\int - 2 z d z

Solution

- z^{2} + C

Solution steps

\int - 2 z d z

Take the constant out:

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

= - 2 \cdot \int z d z

Apply the Power Rule

: \frac{z ^{2}}{2}

= - 2 \cdot \frac{z ^{2}}{2}

Simplify

- 2 \cdot \frac{z ^{2}}{2} : - z^{2}

= - z^{2}

Add a constant to the solution

= - z^{2} + C

Popular Examples

integral of (3^x)^3

\int (3^{x})^{3} d x

integral of 2te^{3t}

\int 2 t e^{3 t} d t

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

\int \frac{1}{( 3 x + 2 )} d x

integral of 1/((arctan(y/3))(9+y^2))

\int \frac{1}{( arctan ( \frac{y}{3} ) ) ( 9 + y ^{2} )} d y

integral of 3r^2e^{r^3}

\int 3 r^{2} e^{r^{3}} d r

Frequently Asked Questions (FAQ)

What is the integral of-2z ?
The integral of-2z is -z^2+C