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Popular >

integral of 14x^{13}

Solution

\int 14 x^{13} d x

Solution

x^{14} + C

Solution steps

\int 14 x^{13} d x

Take the constant out:

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

= 14 \cdot \int x^{13} d x

Apply the Power Rule

: \frac{x ^{14}}{14}

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

Simplify

14 \cdot \frac{x ^{14}}{14} : x^{14}

= x^{14}

Add a constant to the solution

= x^{14} + C

Graph

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\frac{d y}{d x} = \frac{x ^{2}}{e ^{y}}

integral from 0 to 9 of x^2

\int_{0}^{9} x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of 14x^{13} ?
The integral of 14x^{13} is x^{14}+C