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Popular >

integral of-4x+12

Solution

\int - 4 x + 12 d x

Solution

- 2 x^{2} + 12 x + C

Solution steps

\int - 4 x + 12 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 12 d x

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

\int 12 d x = 12 x

= - 2 x^{2} + 12 x

Add a constant to the solution

= - 2 x^{2} + 12 x + C

Popular Examples

y^{^{'}} = y^{2} x^{3}

area 3x^2+12,4x+4,[-3,3]area

3 x^{2} + 12, 4 x + 4, [- 3, 3]

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

\frac{1}{1 + x + x ^{2} + x ^{3}}

derivative of (18/((1+3x)^3))

\frac{d}{d x} (\frac{18}{( 1 + 3 x ) ^{3}})

inverse oflaplace (25s)/((s^2+9)(s+4))inverse laplace

\frac{25 s}{( s ^{2} + 9 ) ( s + 4 )}

Frequently Asked Questions (FAQ)

What is the integral of-4x+12 ?
The integral of-4x+12 is -2x^2+12x+C