What is the integral of (L^2)/(h^2)x^2 ?

The integral of (L^2)/(h^2)x^2 is (L^2}{h^2}*\frac{x^3)/3+C

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integral of (L^2)/(h^2)x^2

\int \frac{L ^{2}}{h ^{2}} x^{2} d x

\frac{L ^{2}}{h ^{2}} \cdot \frac{x ^{3}}{3} + C

Solution steps

\int \frac{L ^{2}}{h ^{2}} x^{2} d x

Take the constant out:

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

= \frac{L ^{2}}{h ^{2}} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{L ^{2}}{h ^{2}} \cdot \frac{x ^{3}}{3}

Add a constant to the solution

= \frac{L ^{2}}{h ^{2}} \cdot \frac{x ^{3}}{3} + C

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What is the integral of (L^2)/(h^2)x^2 ?
The integral of (L^2)/(h^2)x^2 is (L^2}{h^2}*\frac{x^3)/3+C