en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

= 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

Popular Examples

integral of (sqrt(x))/((1+x)^2)

integral of ysin(y^2)

integral of ((x+1))/x

integral of sec^5(x)

integral of ((x-y))/((x+y)^3)

Frequently Asked Questions (FAQ)

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