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Popular >

integral of 1/2 x^5

Solution

\int \frac{1}{2} x^{5} d x

Solution

\frac{x ^{6}}{12} + C

Solution steps

\int \frac{1}{2} x^{5} d x

Take the constant out:

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

= \frac{1}{2} \cdot \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= \frac{1}{2} \cdot \frac{x ^{6}}{6}

Simplify

\frac{1}{2} \cdot \frac{x ^{6}}{6} : \frac{x ^{6}}{12}

= \frac{x ^{6}}{12}

Add a constant to the solution

= \frac{x ^{6}}{12} + C

Graph

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y^{^{''}} = - y

Frequently Asked Questions (FAQ)

What is the integral of 1/2 x^5 ?
The integral of 1/2 x^5 is (x^6)/(12)+C