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Popular >

integral of 4z

Solution

\int 4 z d z

Solution

2 z^{2} + C

Solution steps

\int 4 z d z

Take the constant out:

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

= 4 \cdot \int z d z

Apply the Power Rule

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

= 4 \cdot \frac{z ^{2}}{2}

Simplify

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

= 2 z^{2}

Add a constant to the solution

= 2 z^{2} + C

Popular Examples

integral of (5x^2+x+6)/(x^3-1)

\int \frac{5 x ^{2} + x + 6}{x ^{3} - 1} d x

(\partial)/(\partial y)(x^{9y})

\frac{\partial}{\partial y} (x^{9 y})

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

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

integral of xarctan(3x)

\int x arctan (3 x) d x

limit as x approaches 0-of (|x-7|)/(x-7)

x \to 0 - lim (\frac{∣ x - 7 ∣}{x - 7})

Frequently Asked Questions (FAQ)

What is the integral of 4z ?
The integral of 4z is 2z^2+C