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Popular >

integral of-1/(y^2)

Solution

\int - \frac{1}{y ^{2}} d y

Solution

\frac{1}{y} + C

Solution steps

\int - \frac{1}{y ^{2}} d y

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{y}

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

Simplify

= \frac{1}{y}

Add a constant to the solution

= \frac{1}{y} + C

Popular Examples

derivative of cos(7x*7)

\frac{d}{d x} (cos (7 x) \cdot 7)

integral of (10sin(5x))

\int (10 sin (5 x)) d x

derivative of 6*3^x

\frac{d}{d x} (6 \cdot 3^{x})

area y=2-x/2 ,x=2y^2 area

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

integral of (9x+2)^2

\int (9 x + 2)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of-1/(y^2) ?
The integral of-1/(y^2) is 1/y+C