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Popular >

integral of y/(z^2)

Solution

\int \frac{y}{z ^{2}} d z

Solution

- \frac{y}{z} + C

Solution steps

\int \frac{y}{z ^{2}} d z

Take the constant out:

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

= y \cdot \int \frac{1}{z ^{2}} d z

Apply the Power Rule

: - \frac{1}{z}

= y (- \frac{1}{z})

Simplify

y (- \frac{1}{z}) : - \frac{y}{z}

= - \frac{y}{z}

Add a constant to the solution

= - \frac{y}{z} + C

Popular Examples

derivative of sqrt(\sqrt{x)-1}

\frac{d}{d x} (x - 1)

integral from 2 to 5 of e^{4x}

\int_{2}^{5} e^{4 x} d x

derivative of 5^{-x^2}

\frac{d}{d x} (5^{- x^{2}})

integral from 0 to 2pi of sin^2(5x)

\int_{0}^{2 π} sin^{2} (5 x) d x

integral of t/(sqrt(9+t^2))

\int \frac{t}{9 + t ^{2}} d t

Frequently Asked Questions (FAQ)

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