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Popular >

integral of (x-9)

Solution

\int (x - 9) d x

Solution

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

Solution steps

\int 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 x d x - \int 9 d x

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

\int 9 d x = 9 x

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

Add a constant to the solution

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

Popular Examples

integral of+2ye^{y^2}

\int + 2 y e^{y^{2}} d y

integral of-x/(e^{-x)}

\int - \frac{x}{e ^{- x}} d x

integral of (2x^4-6x^3+5x)/(x+2)

\int \frac{2 x ^{4} - 6 x ^{3} + 5 x}{x + 2} d x

integral of (8x^3)/(1+2x^4)

\int \frac{8 x ^{3}}{1 + 2 x ^{4}} d x

integral of (e^xe^x)/(-2)

\int \frac{e ^{x} e ^{x}}{- 2} d x

Frequently Asked Questions (FAQ)

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