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Popular >

integral of-Fx-x

Solution

\int - F x - x d x

Solution

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

Solution steps

\int - F x - x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int x d x - \int F x d x

\int x d x = \frac{x ^{2}}{2}

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

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

Add a constant to the solution

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

Popular Examples

integral of (cos(θ))/(sin^2(θ))

\int \frac{cos ( θ )}{sin ^{2} ( θ )} d θ

(\partial)/(\partial x)((2x-2y)/(y^2+4x^2))

\frac{\partial}{\partial x} (\frac{2 x - 2 y}{y ^{2} + 4 x ^{2}})

integral of x^2sin(ax)

\int x^{2} sin (a x) d x

derivative of 9/(r^3)derivative of

\frac{9}{r ^{3}}

area y=x^2+5x,y=3-x^2 area

y = x^{2} + 5 x, y = 3 - x^{2}

Frequently Asked Questions (FAQ)

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