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Popular >

integral of-y/(x^2)

Solution

\int - \frac{y}{x ^{2}} d x

Solution

\frac{y}{x} + C

Solution steps

\int - \frac{y}{x ^{2}} d x

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

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

= \frac{y}{x}

Add a constant to the solution

= \frac{y}{x} + C

Popular Examples

integral of 5x integral

5 x

integral of 3/7

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

integral of x^2log_{2}(x)

\int x^{2} lo g_{2} (x) d x

integral of x^2cos(x^3+2)

\int x^{2} cos (x^{3} + 2) d x

integral of (x+y^2)

\int (x + y^{2}) d x

Frequently Asked Questions (FAQ)

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