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Popular >

integral of-4x+4

Solution

\int - 4 x + 4 d x

Solution

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

Solution steps

\int - 4 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 4 x d x + \int 4 d x

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

\int 4 d x = 4 x

= - 2 x^{2} + 4 x

Add a constant to the solution

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

Popular Examples

integral of 2sin(x)ln(sin(x))

\int 2 sin (x) ln (sin (x)) d x

integral of x+2/(sqrt(x))

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

integral of (e^x)/((e^x+2)^2)

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

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

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

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

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

Frequently Asked Questions (FAQ)

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