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Popular >

integral of 1/2 x-1

Solution

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

Solution

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

Solution steps

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

\int \frac{1}{2} x d x = \frac{x ^{2}}{4}

\int 1 d x = x

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

Add a constant to the solution

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

Graph

Popular Examples

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

integral of (4+12x)/(sqrt(1+2x+3x^2))

\int \frac{4 + 12 x}{1 + 2 x + 3 x ^{2}} d x

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\int \frac{x ^{2}}{2 x - 3} d x

integral of e^{2x}sqrt(16-e^{4x)}

\int e^{2 x} 16 - e^{4 x} d x

integral of (6x^2)/(1+x^6)

\int \frac{6 x ^{2}}{1 + x ^{6}} d x

Frequently Asked Questions (FAQ)

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