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Popular >

integral of x-1/2

Solution

\int x - \frac{1}{2} d x

Solution

\frac{x ^{2}}{2} - \frac{1}{2} x + C

Solution steps

\int x - \frac{1}{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 \frac{1}{2} d x

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

\int \frac{1}{2} d x = \frac{1}{2} x

= \frac{x ^{2}}{2} - \frac{1}{2} x

Add a constant to the solution

= \frac{x ^{2}}{2} - \frac{1}{2} x + C

Popular Examples

y^{''}+3y^'+2y= 1/(2+e^x)

y^{^{''}} + 3 y^{^{'}} + 2 y = \frac{1}{2 + e ^{x}}

tangent of f(x)=(1+4x)^{3/2},\at x=2 tangent of

f (x) = (1 + 4 x)^{\frac{3}{2}}, at x = 2

derivative of y=x^2-5x-3 derivative of

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

derivative of (tan^2(x)/2)

\frac{d}{d x} (\frac{tan ^{2} ( x )}{2})

derivative of e^{3x+3}

\frac{d}{d x} (e^{3 x + 3})

Frequently Asked Questions (FAQ)

What is the integral of x-1/2 ?
The integral of x-1/2 is (x^2)/2-1/2 x+C