What is the integral of 2x^{25} ?

The integral of 2x^{25} is (x^{26})/(13)+C

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integral of 2x^{25}

\int 2 x^{25} d x

\frac{x ^{26}}{13} + C

Solution steps

\int 2 x^{25} d x

Take the constant out:

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

= 2 \cdot \int x^{25} d x

Apply the Power Rule

: \frac{x ^{26}}{26}

= 2 \cdot \frac{x ^{26}}{26}

Simplify

2 \cdot \frac{x ^{26}}{26} : \frac{x ^{26}}{13}

= \frac{x ^{26}}{13}

Add a constant to the solution

= \frac{x ^{26}}{13} + C

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