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Popular Calculus >

integral of x-5

Solution

\int x - 5 d x

Solution

\frac{x ^{2}}{2} - 5 x + C

Solution steps

\int x - 5 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 x d x - \int 5 d x

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

\int 5 d x = 5 x

= \frac{x ^{2}}{2} - 5 x

Add a constant to the solution

= \frac{x ^{2}}{2} - 5 x + C

Graph

Popular Examples

derivative of x^3(x-1^2)

\frac{d}{d x} (x^{3} (x - 1)^{2})

tangent of y=(3sqrt(x)+x)(2-x^2)

t an g e n t y = (3 x + x) (2 - x^{2})

derivative of sqrt(13x^2-5x+8)

\frac{d}{d x} (13 x^{2} - 5 x + 8)

7y^'+1y=8e^3x,y(0)=9

7 y^{^{'}} + 1 y = 8 e^{3} x, y (0) = 9

f(x)=sin(3x)cos(5x)

f (x) = sin (3 x) cos (5 x)

Frequently Asked Questions (FAQ)

What is the integral of x-5 ?
The integral of x-5 is (x^2)/2-5x+C