What is the integral of (3/91)x^2 ?

The integral of (3/91)x^2 is (x^3)/(91)+C

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integral of (3/91)x^2

\int (\frac{3}{91}) x^{2} d x

\frac{x ^{3}}{91} + C

Solution steps

\int \frac{3}{91} x^{2} d x

Take the constant out:

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

= \frac{3}{91} \cdot \int x^{2} d x

Apply the Power Rule

= \frac{3}{91} \cdot \frac{x ^{3}}{3}

Simplify

\frac{3}{91} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{91}

= \frac{x ^{3}}{91}

Add a constant to the solution

= \frac{x ^{3}}{91} + C