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Popular >

integral of (y^2)/5

Solution

\int \frac{y ^{2}}{5} d y

Solution

\frac{y ^{3}}{15} + C

Solution steps

\int \frac{y ^{2}}{5} d y

Take the constant out:

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

= \frac{1}{5} \cdot \int y^{2} d y

Apply the Power Rule

: \frac{y ^{3}}{3}

= \frac{1}{5} \cdot \frac{y ^{3}}{3}

Simplify

\frac{1}{5} \cdot \frac{y ^{3}}{3} : \frac{y ^{3}}{15}

= \frac{y ^{3}}{15}

Add a constant to the solution

= \frac{y ^{3}}{15} + C

Graph

Popular Examples

inverse oflaplace (e^{-2s})/(s(s^2+1))inverse laplace

\frac{e ^{- 2 s}}{s ( s ^{2} + 1 )}

x^2y^{''}+0y^'-2y=x^2

x^{2} y^{^{''}} + 0 y^{^{'}} - 2 y = x^{2}

derivative of y=(x-2)/(x^2)derivative of

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

derivative of f(x)=(x^2+3)^6 derivative of

f (x) = (x^{2} + 3)^{6}

limit as x approaches 3 of x^2-1

x \to 3 lim (x^{2} - 1)

Frequently Asked Questions (FAQ)

What is the integral of (y^2)/5 ?
The integral of (y^2)/5 is (y^3)/(15)+C