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Popular >

integral of 3z

Solution

\int 3 z d z

Solution

\frac{3 z ^{2}}{2} + C

Solution steps

\int 3 z d z

Take the constant out:

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

= 3 \cdot \int z d z

Apply the Power Rule

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

= 3 \cdot \frac{z ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 z ^{2}}{2}

Add a constant to the solution

= \frac{3 z ^{2}}{2} + C

Popular Examples

integral of 7/(x-3)

\int \frac{7}{x - 3} d x

y^'=(2xsec(y/x)+y)/x

y^{^{'}} = \frac{2 x sec ( \frac{y}{x} ) + y}{x}

derivative of (x-4/3)

\frac{d}{d x} (\frac{x - 4}{3})

derivative of y=4x^3e^{-x}derivative of

y = 4 x^{3} e^{- x}

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

\int (- \frac{x ^{3}}{3} - x^{2} + \frac{4}{3}) d x

Frequently Asked Questions (FAQ)

What is the integral of 3z ?
The integral of 3z is (3z^2)/2+C