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Popular >

integral of (4x^3)/3

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Popular Examples

0.5y^{''}+10y^'+100y=150

0.5 y^{^{''}} + 10 y^{^{'}} + 100 y = 150

limit as x approaches 1 of (x)^{1/(1-x)}

x \to 1 lim ((x)^{\frac{1}{1 - x}})

derivative of-(2x/y)

\frac{d}{d x} (- \frac{2 x}{y})

integral of (sqrt(4x^2-25))/x

\int \frac{4 x ^{2} - 25}{x} d x

slope ofintercept (-6,1),(-4,-9)slope intercept

(- 6, 1), (- 4, - 9)

Frequently Asked Questions (FAQ)

What is the integral of (4x^3)/3 ?
The integral of (4x^3)/3 is (x^4)/3+C