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Popular >

integral of (x^3)/5

Solution

\int \frac{x ^{3}}{5} d x

Solution

\frac{x ^{4}}{20} + C

Solution steps

\int \frac{x ^{3}}{5} d x

Take the constant out:

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

= \frac{1}{5} \cdot \int x^{3} d x

Apply the Power Rule

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

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

Simplify

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

= \frac{x ^{4}}{20}

Add a constant to the solution

= \frac{x ^{4}}{20} + C

Popular Examples

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\int_{1}^{\infty} \frac{1}{n ^{2}}

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x \to 0 lim (\frac{2 x - 2}{x})

(\partial)/(\partial y)(1+x^4+y^4)

\frac{\partial}{\partial y} (1 + x^{4} + y^{4})

Frequently Asked Questions (FAQ)

What is the integral of (x^3)/5 ?
The integral of (x^3)/5 is (x^4)/(20)+C