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Popular >

integral of 8x^{1/3}

Solution

\int 8 x^{\frac{1}{3}} d x

Solution

6 x^{\frac{4}{3}} + C

Solution steps

\int 8 x^{\frac{1}{3}} d x

Take the constant out:

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

= 8 \cdot \int x^{\frac{1}{3}} d x

Apply the Power Rule

: \frac{3}{4} x^{\frac{4}{3}}

= 8 \cdot \frac{3}{4} x^{\frac{4}{3}}

Simplify

8 \cdot \frac{3}{4} x^{\frac{4}{3}} : 6 x^{\frac{4}{3}}

= 6 x^{\frac{4}{3}}

Add a constant to the solution

= 6 x^{\frac{4}{3}} + C

Popular Examples

(\partial)/(\partial x)(ye^x-3x-y+5)

\frac{\partial}{\partial x} (y e^{x} - 3 x - y + 5)

limit as x approaches 0-of (x^2-x)/(|x|)

x \to 0 - lim (\frac{x ^{2} - x}{∣ x ∣})

limit as t approaches 0 of 3

t \to 0 lim (3)

derivative of y=(3x^4+7)/(x^2)derivative of

y = \frac{3 x ^{4} + 7}{x ^{2}}

integral from 1 to sqrt(3 of)x2^{x^2}

\int_{1}^{3} x 2^{x^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 8x^{1/3} ?
The integral of 8x^{1/3} is 6x^{4/3}+C