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Popular >

integral of 3ay^2

Solution

\int 3 a y^{2} d y

Solution

a y^{3} + C

Solution steps

\int 3 a y^{2} d y

Take the constant out:

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

= 3 a \cdot \int y^{2} d y

Apply the Power Rule

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

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

Simplify

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

= a y^{3}

Add a constant to the solution

= a y^{3} + C

Graph

Popular Examples

derivative of (x+5/(x-1))

\frac{d}{d x} (\frac{x + 5}{x - 1})

limit as x approaches 0 of sin((pix)/2)

x \to 0 lim (sin (\frac{π x}{2}))

integral of (3x^2)/(sqrt(x^2-5))

\int \frac{3 x ^{2}}{x ^{2} - 5} d x

derivative of f(3)= 1/x+(x^2-1)^3 derivative of

f (3) = \frac{1}{x} + (x^{2} - 1)^{3}

limit as x approaches 9 of 4-sqrt(x)+7

x \to 9 lim (4 - x + 7)

Frequently Asked Questions (FAQ)

What is the integral of 3ay^2 ?
The integral of 3ay^2 is ay^3+C