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Popular Calculus >

integral of 30x^{29}

Solution

\int 30 x^{29} d x

Solution

x^{30} + C

Solution steps

\int 30 x^{29} d x

Take the constant out:

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

= 30 \cdot \int x^{29} d x

Apply the Power Rule

= 30 \cdot \frac{x ^{30}}{30}

Simplify

30 \cdot \frac{x ^{30}}{30} : x^{30}

= x^{30}

Add a constant to the solution

= x^{30} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 30x^{29} ?
The integral of 30x^{29} is x^{30}+C