What is the integral of 1/2 x^{3/4} ?

The integral of 1/2 x^{3/4} is 2/7 x^{7/4}+C

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integral of 1/2 x^{3/4}

\int \frac{1}{2} x^{\frac{3}{4}} d x

\frac{2}{7} x^{\frac{7}{4}} + C

Solution steps

\int \frac{1}{2} x^{\frac{3}{4}} d x

Take the constant out:

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

= \frac{1}{2} \cdot \int x^{\frac{3}{4}} d x

Apply the Power Rule

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

= \frac{1}{2} \cdot \frac{4}{7} x^{\frac{7}{4}}

Simplify

\frac{1}{2} \cdot \frac{4}{7} x^{\frac{7}{4}} : \frac{2}{7} x^{\frac{7}{4}}

= \frac{2}{7} x^{\frac{7}{4}}

Add a constant to the solution

= \frac{2}{7} x^{\frac{7}{4}} + C

\int (9) d x

y = x^{2} + 19 x^{9}

x \to \infty lim (8 + \frac{1}{x})

\frac{d}{d x} (ln (9 - x^{2}))

\frac{\partial}{\partial x} (x^{2} + y^{2} + z^{2} - 1)

What is the integral of 1/2 x^{3/4} ?
The integral of 1/2 x^{3/4} is 2/7 x^{7/4}+C