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Popular >

integral of 2/3 y

Solution

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

Solution

\frac{y ^{2}}{3} + C

Solution steps

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

Take the constant out:

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

= \frac{2}{3} \cdot \int y d y

Apply the Power Rule

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

= \frac{2}{3} \cdot \frac{y ^{2}}{2}

Simplify

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

= \frac{y ^{2}}{3}

Add a constant to the solution

= \frac{y ^{2}}{3} + C

Popular Examples

integral of (x+12)/(x^2+3x-10)

\int \frac{x + 12}{x ^{2} + 3 x - 10} d x

integral of [(x^2-1)(x^3+7x)]

\int [(x^{2} - 1) (x^{3} + 7 x)] d x

integral of 3x^2-e^x

\int 3 x^{2} - e^{x} d x

integral of 1/(xsqrt(log_{e)(\sqrt{x))}}

\int \frac{1}{x lo g _{e} ( x )} d x

integral of (x*sin(x))

\int (x \cdot sin (x)) d x

Frequently Asked Questions (FAQ)

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