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Popular >

integral of f^2(x)

Solution

\int f^{2} (x) d x

Solution

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

Solution steps

\int f^{2} x d x

Take the constant out:

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

= f^{2} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

derivative of (2x-3^3)

\frac{d}{d x} ((2 x - 3)^{3})

(\partial)/(\partial x)(4x+y)

\frac{\partial}{\partial x} (4 x + y)

integral of 4e^{2x-1}

\int 4 e^{2 x - 1} d x

integral from-1 to 1 of 1/(sqrt(t+1))

\int_{- 1}^{1} \frac{1}{t + 1} d t

(dy)/(dx)=42yx^6

\frac{d y}{d x} = 42 y x^{6}

Frequently Asked Questions (FAQ)

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