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Popular >

integral of-2/(y^3)

Solution

\int - \frac{2}{y ^{3}} d y

Solution

\frac{1}{y ^{2}} + C

Solution steps

\int - \frac{2}{y ^{3}} d y

Take the constant out:

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

= - 2 \cdot \int \frac{1}{y ^{3}} d y

Apply the Power Rule

: - \frac{1}{2 y ^{2}}

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

Simplify

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

= \frac{1}{y ^{2}}

Add a constant to the solution

= \frac{1}{y ^{2}} + C

Popular Examples

integral of 3x^2(x^3+1)^3

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

integral of e^{2s}

\int e^{2 s} d s

integral of (4x)/(sqrt(x^2+2))

\int \frac{4 x}{x ^{2} + 2} d x

integral of arctan(x/y)

\int arctan (\frac{x}{y}) d x

integral of e^{(5x)/2}

\int e^{\frac{5 x}{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of-2/(y^3) ?
The integral of-2/(y^3) is 1/(y^2)+C