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Popular >

integral of 8-x

Solution

\int 8 - x d x

Solution

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

Solution steps

\int 8 - 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 8 d x - \int x d x

\int 8 d x = 8 x

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

= 8 x - \frac{x ^{2}}{2}

Add a constant to the solution

= 8 x - \frac{x ^{2}}{2} + C

Popular Examples

(dx)/(dt)+x/(25)=0.16

\frac{d x}{d t} + \frac{x}{25} = 0.16

derivative of 3x^2-x^2y+y^4

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

integral of (x+7)/(x^2+4x+8)

\int \frac{x + 7}{x ^{2} + 4 x + 8} d x

6y^'-3y=2e^{-2x},y(0)=10

6 y^{^{'}} - 3 y = 2 e^{- 2 x}, y (0) = 10

taylor ln(1+2x),1 taylor

ln (1 + 2 x), 1

Frequently Asked Questions (FAQ)

What is the integral of 8-x ?
The integral of 8-x is 8x-(x^2)/2+C