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Popular >

integral of F(x)

Solution

\int F (x) d x

Solution

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

Solution steps

\int F x d x

Take the constant out:

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

= F \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

d/(d{y)}(({x}^2+{y}^2+{z}^2)^{-1/2}+ln({x}{y}{z}))

\frac{d}{d y} ((x^{2} + y^{2} + z^{2})^{- \frac{1}{2}} + ln (x y z))

integral of tan^7(x)sec^4(x)

\int tan^{7} (x) sec^{4} (x) d x

limit as x approaches-2 of 5(3x^2-24x+3)

x \to - 2 lim (5 (3 x^{2} - 24 x + 3))

limit as x approaches 0 of (-9)/(1-9x)

x \to 0 lim (\frac{- 9}{1 - 9 x})

(\partial)/(\partial x)(y*cos(x))

\frac{\partial}{\partial x} (y \cdot cos (x))

Frequently Asked Questions (FAQ)

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