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Popular >

integral of (x^4)/8

Solution

\int \frac{x ^{4}}{8} d x

Solution

\frac{x ^{5}}{40} + C

Solution steps

\int \frac{x ^{4}}{8} d x

Take the constant out:

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

= \frac{1}{8} \cdot \int x^{4} d x

Apply the Power Rule

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

= \frac{1}{8} \cdot \frac{x ^{5}}{5}

Simplify

\frac{1}{8} \cdot \frac{x ^{5}}{5} : \frac{x ^{5}}{40}

= \frac{x ^{5}}{40}

Add a constant to the solution

= \frac{x ^{5}}{40} + C

Popular Examples

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\int x^{2} + 2 x + 4 d x

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\int e^{2 x} cos (nπ x) d x

integral of 1/(s+2)

\int \frac{1}{s + 2} d s

integral of (2y)/(sqrt(1-4y^2))

\int \frac{2 y}{1 - 4 y ^{2}} d y

Frequently Asked Questions (FAQ)

What is the integral of (x^4)/8 ?
The integral of (x^4)/8 is (x^5)/(40)+C