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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

Graph

Popular Examples

(dy)/(dx)=((2y+5)/(6x+7))^2

\frac{d y}{d x} = (\frac{2 y + 5}{6 x + 7})^{2}

derivative of 1-cos(4x)

\frac{d}{d x} (1 - cos (4 x))

integral of 2^x

\int 2^{x} d x

integral of (sin(sqrt(w)))/(sqrt(w))

\int \frac{sin ( w )}{w} d w

tangent of f(x)=sqrt(x-5),\at x=9 tangent of

f (x) = x - 5, at x = 9

Frequently Asked Questions (FAQ)

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