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Popular >

integral of 2-x/2

Solution

\int 2 - \frac{x}{2} d x

Solution

2 x - \frac{x ^{2}}{4} + C

Solution steps

\int 2 - \frac{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 2 d x - \int \frac{x}{2} d x

\int 2 d x = 2 x

\int \frac{x}{2} d x = \frac{x ^{2}}{4}

= 2 x - \frac{x ^{2}}{4}

Add a constant to the solution

= 2 x - \frac{x ^{2}}{4} + C

Graph

Popular Examples

derivative of \sqrt[3]{x^4}derivative of

3 x^{4}

inverse oflaplace (s-2)/((s-3)(s-1))inverse laplace

\frac{s - 2}{( s - 3 ) ( s - 1 )}

tangent of f(x)= 3/(1+x^2),(1, 3/2)tangent of

f (x) = \frac{3}{1 + x ^{2}}, (1, \frac{3}{2})

integral of (3x^3)/(sqrt(1+x^4))

\int \frac{3 x ^{3}}{1 + x ^{4}} d x

derivative of 5/(4+x)

\frac{d}{d x} (\frac{5}{4 + x})

Frequently Asked Questions (FAQ)

What is the integral of 2-x/2 ?
The integral of 2-x/2 is 2x-(x^2)/4+C