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Popular >

integral of 100-x

Solution

\int 100 - x d x

Solution

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

Solution steps

\int 100 - 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 100 d x - \int x d x

\int 100 d x = 100 x

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

= 100 x - \frac{x ^{2}}{2}

Add a constant to the solution

= 100 x - \frac{x ^{2}}{2} + C

Popular Examples

integral of sec^3(x

\int sec^{3} (d) x d x

limit as x approaches-(5pi)/2 of sec(x)

x \to - \frac{5 π}{2} lim (sec (x))

(d^2y)/(dt^2)+9y=cos(2t)

\frac{d ^{2} y}{d t ^{2}} + 9 y = cos (2 t)

integral of (10)/(x^3-x^2+6x)

\int \frac{10}{x ^{3} - x ^{2} + 6 x} d x

integral of 2x-7

\int 2 x - 7 d x

Frequently Asked Questions (FAQ)

What is the integral of 100-x ?
The integral of 100-x is 100x-(x^2)/2+C