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Popular >

integral of (4x^2)/3

Solution

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

Solution

\frac{4 x ^{3}}{9} + C

Solution steps

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

Apply the Power Rule

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

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

Simplify

\frac{4}{3} \cdot \frac{x ^{3}}{3} : \frac{4 x ^{3}}{9}

= \frac{4 x ^{3}}{9}

Add a constant to the solution

= \frac{4 x ^{3}}{9} + C

Popular Examples

integral of (x-3)/(sqrt(x^2-4x+5))

\int \frac{x - 3}{x ^{2} - 4 x + 5} d x

limit as x approaches-1 of 2x-1

x \to - 1 lim (2 x - 1)

derivative of sqrt(1+x^3)derivative of

1 + x^{3}

limit as x approaches x of (sin(x))/x

x \to x lim (\frac{sin ( x )}{x})

integral from 0 to infinity of 1/(x^4)

\int_{0}^{\infty} \frac{1}{x ^{4}} d x

Frequently Asked Questions (FAQ)

What is the integral of (4x^2)/3 ?
The integral of (4x^2)/3 is (4x^3)/9+C