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Popular >

integral of x+12

Solution

\int x + 12 d x

Solution

\frac{x ^{2}}{2} + 12 x + C

Solution steps

\int 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 x d x + \int 12 d x

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

\int 12 d x = 12 x

= \frac{x ^{2}}{2} + 12 x

Add a constant to the solution

= \frac{x ^{2}}{2} + 12 x + C

Popular Examples

integral of (8x^2+5x+18)/((4x^2+9)^2)

\int \frac{8 x ^{2} + 5 x + 18}{( 4 x ^{2} + 9 ) ^{2}} d x

integral of (ln(t))/(sqrt(t))

\int \frac{ln ( t )}{t} d t

integral of sin(2x)(cos(2x))^4

\int sin (2 x) (cos (2 x))^{4} d x

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

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

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

\int \frac{\frac{1}{2}}{x + 1} d x

Frequently Asked Questions (FAQ)

What is the integral of x+12 ?
The integral of x+12 is (x^2)/2+12x+C