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Popular >

integral of f(x)^2

Solution

integral

f (x)^{2}

Solution

\frac{x ^{2} f ^{2}}{2} + C

Solution steps

\int f x^{2} df

Take the constant out:

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

= x^{2} \cdot \int fdf

Apply the Power Rule

: \frac{f ^{2}}{2}

= x^{2} \frac{f ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{2} f ^{2}}{2}

Add a constant to the solution

= \frac{x ^{2} f ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

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