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Popular >

integral of 5/32 x^4

Solution

\int \frac{5}{32} x^{4} d x

Solution

\frac{x ^{5}}{32} + C

Solution steps

\int \frac{5}{32} x^{4} d x

Take the constant out:

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

= \frac{5}{32} \cdot \int x^{4} d x

Apply the Power Rule

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

= \frac{5}{32} \cdot \frac{x ^{5}}{5}

Simplify

\frac{5}{32} \cdot \frac{x ^{5}}{5} : \frac{x ^{5}}{32}

= \frac{x ^{5}}{32}

Add a constant to the solution

= \frac{x ^{5}}{32} + C

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Frequently Asked Questions (FAQ)

What is the integral of 5/32 x^4 ?
The integral of 5/32 x^4 is (x^5)/(32)+C