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Popular >

integral of 12x-4

Solution

\int 12 x - 4 d x

Solution

6 x^{2} - 4 x + C

Solution steps

\int 12 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 12 x d x - \int 4 d x

\int 12 x d x = 6 x^{2}

\int 4 d x = 4 x

= 6 x^{2} - 4 x

Add a constant to the solution

= 6 x^{2} - 4 x + C

Popular Examples

integral of sec(t)(5sec(t)+4tan(t))

\int sec (t) (5 sec (t) + 4 tan (t)) d t

integral of (x^2)/(x^4-16)

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

integral of sec(x)(3sec(x)+7tan(x))

\int sec (x) (3 sec (x) + 7 tan (x)) d x

integral of x(x^2-4)^{7/2}

\int x (x^{2} - 4)^{\frac{7}{2}} d x

integral of (1-3x)^9

\int (1 - 3 x)^{9} d x

Frequently Asked Questions (FAQ)

What is the integral of 12x-4 ?
The integral of 12x-4 is 6x^2-4x+C