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Popular >

integral of (y^3)/2

Solution

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

Solution

\frac{y ^{4}}{8} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: \frac{y ^{4}}{4}

= \frac{1}{2} \cdot \frac{y ^{4}}{4}

Simplify

\frac{1}{2} \cdot \frac{y ^{4}}{4} : \frac{y ^{4}}{8}

= \frac{y ^{4}}{8}

Add a constant to the solution

= \frac{y ^{4}}{8} + C

Popular Examples

limit as t approaches infinity of (98)/(1+4e^{-0.1(t))}

t \to \infty lim (\frac{98}{1 + 4 e ^{- 0.1 (t)}})

integral of 1/(10x)

\int \frac{1}{10 x} d x

derivative of y^2 derivative of

y^{2}

f^'(x)=3arctan(x^2-3x+2)

f^{^{'}} (x) = 3 arctan (x^{2} - 3 x + 2)

integral of sqrt(1-4w^2)

\int 1 - 4 w^{2} d w

Frequently Asked Questions (FAQ)

What is the integral of (y^3)/2 ?
The integral of (y^3)/2 is (y^4)/8+C