What is the integral of \sqrt[4]{x^3} ?

The integral of \sqrt[4]{x^3} is 4/7 x^{7/4}+C

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integral of \sqrt[4]{x^3}

\frac{4}{7} x^{\frac{7}{4}} + C

Solution steps

assuming

x \geq 0

= \int x^{\frac{3}{4}} d x

Apply the Power Rule

: \frac{4}{7} x^{\frac{7}{4}}

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

Add a constant to the solution

= \frac{4}{7} x^{\frac{7}{4}} + C

x = 6.4 cos (1. 2^{2} t^{2})

\int sin (4 x) sin (3 x) d x

x \to π lim (ln (tan (x)))

x \to - \infty lim (e^{- x} + x - 1)

\frac{d}{d x} (13 arctan (x))

What is the integral of \sqrt[4]{x^3} ?
The integral of \sqrt[4]{x^3} is 4/7 x^{7/4}+C