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Popular >

integral of (x^4)/4

Solution

integral

\frac{x ^{4}}{4}

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{5}}{5}

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

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15 x^{2} (5 x^{3} - 6)^{5}

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\frac{x ^{2}}{x ^{2} - 4}

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\frac{1}{( x ^{3} - x )}

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7^{2} x + 3

integral of 4x-1 integral

4 x - 1

Frequently Asked Questions (FAQ)

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