What is the integral of \sqrt[7]{x^4} ?

The integral of \sqrt[7]{x^4} is 7/11 x^{11/7}+C

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integral of \sqrt[7]{x^4}

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

Solution steps

assuming

x \geq 0

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

Apply the Power Rule

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

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

Add a constant to the solution

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

7 cos (x)

\int_{- \infty}^{0} x e^{- 8 x} d x

(1 + 2 x)^{2}

y = \frac{7 x}{e ^{x}}

arctan (x - 1 + x^{2})

What is the integral of \sqrt[7]{x^4} ?
The integral of \sqrt[7]{x^4} is 7/11 x^{11/7}+C