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Popular >

integral of (2x-2)

Solution

\int (2 x - 2) d x

Solution

x^{2} - 2 x + C

Solution steps

\int 2 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 x d x - \int 2 d x

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

\int 2 d x = 2 x

= x^{2} - 2 x

Add a constant to the solution

= x^{2} - 2 x + C

Popular Examples

(\partial)/(\partial x)(3x^2y+y^2+yz)

\frac{\partial}{\partial x} (3 x^{2} y + y^{2} + yz)

derivative of (6x/(x^2-3))

\frac{d}{d x} (\frac{6 x}{x ^{2} - 3})

limit as x approaches-5 of (x^3+125)/(x^2-25)

x \to - 5 lim (\frac{x ^{3} + 125}{x ^{2} - 25})

integral of (x-2)/(x+7)

\int \frac{x - 2}{x + 7} d x

integral from 0 to 9 of |x^2-6x+5|

\int_{0}^{9} x^{2} - 6 x + 5 d x

Frequently Asked Questions (FAQ)

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