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Popular Calculus >

integral of (3x^5)

Solution

\int (3 x^{5}) d x

Solution

\frac{x ^{6}}{2} + C

Solution steps

\int 3 x^{5} d x

Take the constant out:

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

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

Apply the Power Rule

= 3 \cdot \frac{x ^{6}}{6}

Simplify

3 \cdot \frac{x ^{6}}{6} : \frac{x ^{6}}{2}

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

Add a constant to the solution

= \frac{x ^{6}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (3x^5) ?
The integral of (3x^5) is (x^6)/2+C