What is the integral of 2x^{14} ?

The integral of 2x^{14} is (2x^{15})/(15)+C

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integral of 2x^{14}

\int 2 x^{14} d x

\frac{2 x ^{15}}{15} + C

Solution steps

\int 2 x^{14} d x

Take the constant out:

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

= 2 \cdot \int x^{14} d x

Apply the Power Rule

: \frac{x ^{15}}{15}

= 2 \cdot \frac{x ^{15}}{15}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 x ^{15}}{15}

Add a constant to the solution

= \frac{2 x ^{15}}{15} + C

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