What is the integral of 7x^{4/7} ?

The integral of 7x^{4/7} is 49/11 x^{11/7}+C

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integral of 7x^{4/7}

\int 7 x^{\frac{4}{7}} d x

\frac{49}{11} x^{\frac{11}{7}} + C

Solution steps

\int 7 x^{\frac{4}{7}} d x

Take the constant out:

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

= 7 \cdot \int x^{\frac{4}{7}} d x

Apply the Power Rule

: \frac{7}{11} x^{\frac{11}{7}}

= 7 \cdot \frac{7}{11} x^{\frac{11}{7}}

Simplify

7 \cdot \frac{7}{11} x^{\frac{11}{7}} : \frac{49}{11} x^{\frac{11}{7}}

= \frac{49}{11} x^{\frac{11}{7}}

Add a constant to the solution

= \frac{49}{11} x^{\frac{11}{7}} + C

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