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Popular >

integral of 9-x

Solution

\int 9 - x d x

Solution

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

Solution steps

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

\int 9 d x = 9 x

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

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

Add a constant to the solution

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

Popular Examples

integral of x^{-5}sqrt(x)

\int x^{- 5} x d x

integral of (e^{sqrt(x)+1})/(sqrt(x))

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

integral of 6xsqrt(x-4)

\int 6 x x - 4 d x

integral of (2+9x)/(1+x^2)

\int \frac{2 + 9 x}{1 + x ^{2}} d x

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

\int (1 + ln (x))^{2} d x

Frequently Asked Questions (FAQ)

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