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Popular >

integral of (x^6)/2

Solution

\int \frac{x ^{6}}{2} d x

Solution

\frac{x ^{7}}{14} + C

Solution steps

\int \frac{x ^{6}}{2} 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^{6} d x

Apply the Power Rule

: \frac{x ^{7}}{7}

= \frac{1}{2} \cdot \frac{x ^{7}}{7}

Simplify

\frac{1}{2} \cdot \frac{x ^{7}}{7} : \frac{x ^{7}}{14}

= \frac{x ^{7}}{14}

Add a constant to the solution

= \frac{x ^{7}}{14} + C

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Frequently Asked Questions (FAQ)

What is the integral of (x^6)/2 ?
The integral of (x^6)/2 is (x^7)/(14)+C