What is the integral of (y^2)/(x^2) ?

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

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integral of (y^2)/(x^2)

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

- \frac{y ^{2}}{x} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{x}

= y^{2} (- \frac{1}{x})

Simplify

y^{2} (- \frac{1}{x}) : - \frac{y ^{2}}{x}

= - \frac{y ^{2}}{x}

Add a constant to the solution

= - \frac{y ^{2}}{x} + C

\frac{8 x ^{5} - 15}{x ^{4}}

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\frac{d}{d x} ((1 + tan (2 x))^{3})

\frac{d}{d t} (t e^{5 t})