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Popular >

integral of 6y

Solution

\int 6 y d y

Solution

3 y^{2} + C

Solution steps

\int 6 y d y

Take the constant out:

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

= 6 \cdot \int y d y

Apply the Power Rule

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

= 6 \cdot \frac{y ^{2}}{2}

Simplify

6 \cdot \frac{y ^{2}}{2} : 3 y^{2}

= 3 y^{2}

Add a constant to the solution

= 3 y^{2} + C

Popular Examples

integral of ((sqrt(x)+2)^3)/(sqrt(x))

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

(\partial)/(\partial s)(rcos(s))

\frac{\partial}{\partial s} (r cos (s))

(x(11-x))/(1100)dx=dt,x(0)=3

\frac{x ( 11 - x )}{1100} d x = d t, x (0) = 3

derivative of f(x)=sqrt(8)derivative of

f (x) = 8

derivative of 2-x^{2/3}

\frac{d}{d x} (2 - x^{\frac{2}{3}})

Frequently Asked Questions (FAQ)

What is the integral of 6y ?
The integral of 6y is 3y^2+C