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Popular >

integral of (7-x)

Solution

\int (7 - x) d x

Solution

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

Solution steps

\int 7 - 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 7 d x - \int x d x

\int 7 d x = 7 x

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

= 7 x - \frac{x ^{2}}{2}

Add a constant to the solution

= 7 x - \frac{x ^{2}}{2} + C

Graph

Popular Examples

integral from 0 to 1 of (58)/(4y-1)

\int_{0}^{1} \frac{58}{4 y - 1} d y

(dy}{dx}=\frac{xy)/2

\frac{d y}{d x} = \frac{x y}{2}

integral of (2x^3+11x+8)/(x^3+4x^2+4x)

\int \frac{2 x ^{3} + 11 x + 8}{x ^{3} + 4 x ^{2} + 4 x} d x

y^{''''}+17y^{''}+16y=0

y^{^{''''}} + 17 y^{^{''}} + 16 y = 0

limit as w approaches 0 of (a-sqrt(w^2+a^2))/(b-sqrt(w^2+b^2))

w \to 0 lim (\frac{a - w ^{2} + a ^{2}}{b - w ^{2} + b ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of (7-x) ?
The integral of (7-x) is 7x-(x^2)/2+C