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Popular >

integral of (85-x)

Solution

\int (85 - x) d x

Solution

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

Solution steps

\int 85 - 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 85 d x - \int x d x

\int 85 d x = 85 x

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

= 85 x - \frac{x ^{2}}{2}

Add a constant to the solution

= 85 x - \frac{x ^{2}}{2} + C

Popular Examples

integral of 1/(x^3(x-1)^2)

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

integral of 10^{x^3}x^2

\int 1 0^{x^{3}} x^{2} d x

integral of (x-1)sin(2-x)

\int (x - 1) sin (2 - x) d x

integral of 1/(x^2+16x+73)

\int \frac{1}{x ^{2} + 16 x + 73} d x

integral of (x^2-4x+4)/(sqrt(x^2-4x+13))

\int \frac{x ^{2} - 4 x + 4}{x ^{2} - 4 x + 13} d x

Frequently Asked Questions (FAQ)

What is the integral of (85-x) ?
The integral of (85-x) is 85x-(x^2)/2+C