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Popular Calculus >

integral of 3x-9

Solution

\int 3 x - 9 d x

Solution

\frac{3 x ^{2}}{2} - 9 x + C

Solution steps

\int 3 x - 9 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 3 x d x - \int 9 d x

\int 3 x d x = \frac{3 x ^{2}}{2}

\int 9 d x = 9 x

= \frac{3 x ^{2}}{2} - 9 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} - 9 x + C

Graph

Popular Examples

integral of (4w^2-12w+3w^5-17)/(-2+w^2)

\int \frac{4 w ^{2} - 12 w + 3 w ^{5} - 17}{- 2 + w ^{2}} d w

integral of (x+5)(x-4)

\int (x + 5) (x - 4) d x

integral of cos(x^3)3x^2

\int cos (x^{3}) 3 x^{2} d x

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

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

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

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

Frequently Asked Questions (FAQ)

What is the integral of 3x-9 ?
The integral of 3x-9 is (3x^2)/2-9x+C