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Popular >

integral of (x-10)

Solution

\int (x - 10) d x

Solution

\frac{x ^{2}}{2} - 10 x + C

Solution steps

\int x - 10 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 10 d x

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

\int 10 d x = 10 x

= \frac{x ^{2}}{2} - 10 x

Add a constant to the solution

= \frac{x ^{2}}{2} - 10 x + C

Graph

Popular Examples

integral of x^2-2x+8

\int x^{2} - 2 x + 8 d x

integral of (x^3+2)/(x^3+x^2)

\int \frac{x ^{3} + 2}{x ^{3} + x ^{2}} d x

integral of (x+1)*cos(x)

\int (x + 1) \cdot cos (x) d x

integral of 2x^{-3}+1/(sqrt(x))-4/(sqrt(1-x^2))

\int 2 x^{- 3} + \frac{1}{x} - \frac{4}{1 - x ^{2}} d x

integral of e^{-x}*arccot(e^x)

\int e^{- x} \cdot arccot (e^{x}) d x

Frequently Asked Questions (FAQ)

What is the integral of (x-10) ?
The integral of (x-10) is (x^2)/2-10x+C