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Popular >

integral of 5z

Solution

\int 5 z d z

Solution

\frac{5 z ^{2}}{2} + C

Solution steps

\int 5 z d z

Take the constant out:

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

= 5 \cdot \int z d z

Apply the Power Rule

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

= 5 \cdot \frac{z ^{2}}{2}

Multiply fractions:

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

= \frac{5 z ^{2}}{2}

Add a constant to the solution

= \frac{5 z ^{2}}{2} + C

Popular Examples

integral from 4 to infinity of e^{-3x}

\int_{4}^{\infty} e^{- 3 x} d x

(\partial)/(\partial x)(x/4)

\frac{\partial}{\partial x} (\frac{x}{4})

inverse oflaplace 5/(s(s+2))inverse laplace

\frac{5}{s ( s + 2 )}

derivative of 524.8x^{0.75}

\frac{d}{d x} (524.8 x^{0.75})

taylor (x^3-2x+4),2 taylor

(x^{3} - 2 x + 4), 2

Frequently Asked Questions (FAQ)

What is the integral of 5z ?
The integral of 5z is (5z^2)/2+C