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Popular >

integral of (2x-4)

Solution

\int (2 x - 4) d x

Solution

x^{2} - 4 x + C

Solution steps

\int 2 x - 4 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 4 d x

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

\int 4 d x = 4 x

= x^{2} - 4 x

Add a constant to the solution

= x^{2} - 4 x + C

Popular Examples

integral of (-3/7 x^5+1/5 x^3-7/4 x^2)

\int (- \frac{3}{7} x^{5} + \frac{1}{5} x^{3} - \frac{7}{4} x^{2}) d x

integral of (3x)/(x^2+2x-8)

\int \frac{3 x}{x ^{2} + 2 x - 8} d x

derivative of 6x+3

\frac{d}{d x} (6 x + 3)

limit as x approaches 3 of (x^2+1)/(x+3)

x \to 3 lim (\frac{x ^{2} + 1}{x + 3})

y^'=sqrt(y),y(1)=1

y^{^{'}} = y, y (1) = 1

Frequently Asked Questions (FAQ)

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