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Popular >

integral of 1-x/2

Solution

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

Solution

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

Solution steps

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

\int 1 d x = x

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

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

Add a constant to the solution

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

Graph

Popular Examples

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\int \frac{ln ( x )}{2 x ^{2}} d x

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laplacetransform 1-e^{-,\at}laplace transform

1 - e^{-, at}

integral of 1/((x+2)^3)

\int \frac{1}{( x + 2 ) ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral of 1-x/2 ?
The integral of 1-x/2 is x-(x^2)/4+C