What is the integral of (3x^2)/(125) ?

The integral of (3x^2)/(125) is (x^3)/(125)+C

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integral of (3x^2)/(125)

\int \frac{3 x ^{2}}{125} d x

\frac{x ^{3}}{125} + C

Solution steps

\int \frac{3 x ^{2}}{125} d x

Take the constant out:

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

= \frac{3}{125} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{3}{125} \cdot \frac{x ^{3}}{3}

Simplify

\frac{3}{125} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{125}

= \frac{x ^{3}}{125}

Add a constant to the solution

= \frac{x ^{3}}{125} + C

sin (cos (tan (x)))

\frac{d}{d x} (1 + cos (2 x))

ln (x y^{9}) = x y

\int \frac{x ^{3}}{27} - \frac{4}{9} x^{2} + \frac{4}{3} x + 1 d x

What is the integral of (3x^2)/(125) ?
The integral of (3x^2)/(125) is (x^3)/(125)+C