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Popular >

integral of 31x^{30}

Solution

\int 31 x^{30} d x

Solution

x^{31} + C

Solution steps

\int 31 x^{30} d x

Take the constant out:

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

= 31 \cdot \int x^{30} d x

Apply the Power Rule

: \frac{x ^{31}}{31}

= 31 \cdot \frac{x ^{31}}{31}

Simplify

31 \cdot \frac{x ^{31}}{31} : x^{31}

= x^{31}

Add a constant to the solution

= x^{31} + C

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Frequently Asked Questions (FAQ)

What is the integral of 31x^{30} ?
The integral of 31x^{30} is x^{31}+C