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Popular >

integral of (y^4)/4

Solution

\int \frac{y ^{4}}{4} d y

Solution

\frac{y ^{5}}{20} + C

Solution steps

\int \frac{y ^{4}}{4} d y

Take the constant out:

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

= \frac{1}{4} \cdot \int y^{4} d y

Apply the Power Rule

: \frac{y ^{5}}{5}

= \frac{1}{4} \cdot \frac{y ^{5}}{5}

Simplify

\frac{1}{4} \cdot \frac{y ^{5}}{5} : \frac{y ^{5}}{20}

= \frac{y ^{5}}{20}

Add a constant to the solution

= \frac{y ^{5}}{20} + C

Popular Examples

integral of (x-csc(x)cot(x))

\int (x - csc (x) cot (x)) d x

f(x)=x^2*e^{4x}

f (x) = x^{2} \cdot e^{4 x}

integral from 1 to infinity of 1/(x^2-x)

\int_{1}^{\infty} \frac{1}{x ^{2} - x} d x

derivative of 4x^3+4

\frac{d}{d x} (4 x^{3} + 4)

x \frac{d y}{d x} = 3 y

Frequently Asked Questions (FAQ)

What is the integral of (y^4)/4 ?
The integral of (y^4)/4 is (y^5)/(20)+C