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Popular >

integral of 2-x

Solution

\int 2 - x d x

Solution

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

Solution steps

\int 2 - 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 2 d x - \int x d x

\int 2 d x = 2 x

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

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

Add a constant to the solution

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

Popular Examples

limit as x approaches 3+of 4

x \to 3 + lim (4)

integral of 3/(\sqrt[5]{x^3)}

derivative of (3x^2-2x^2)

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

x^2(dy)/(dx)+y=0

x^{2} \frac{d y}{d x} + y = 0

derivative of sin^2(6x)

\frac{d}{d x} (sin^{2} (6 x))

Frequently Asked Questions (FAQ)

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