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Popular >

integral of-x+2

Solution

\int - x + 2 d x

Solution

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

Solution steps

\int - x + 2 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 2 d x

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

derivative of 16ln(x)

\frac{d}{d x} (16 ln (x))

integral of x/((x^2+2)^{3/2)}

\int \frac{x}{( x ^{2} + d ^{2} ) ^{\frac{3}{2}}} d x

y^{''}-3y^'+2y=14sin(2x)-18cos(2x)

y^{^{''}} - 3 y^{^{'}} + 2 y = 14 sin (2 x) - 18 cos (2 x)

derivative of x+sin(y)

\frac{d}{d x} (x + sin (y))

integral of (9x^3-6x+4)/(x^3-x^2)

\int \frac{9 x ^{3} - 6 x + 4}{x ^{3} - x ^{2}} d x

Frequently Asked Questions (FAQ)

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