What is the integral of 4x^{10} ?

The integral of 4x^{10} is (4x^{11})/(11)+C

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integral of 4x^{10}

integral

4 x^{10}

\frac{4 x ^{11}}{11} + C

Solution steps

\int 4 x^{10} d x

Take the constant out:

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

= 4 \cdot \int x^{10} d x

Apply the Power Rule

= 4 \cdot \frac{x ^{11}}{11}

Multiply fractions:

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

= \frac{4 x ^{11}}{11}

Add a constant to the solution

= \frac{4 x ^{11}}{11} + C