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Popular >

integral of 30-x

Solution

\int 30 - x d x

Solution

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

Solution steps

\int 30 - 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 30 d x - \int x d x

\int 30 d x = 30 x

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

= 30 x - \frac{x ^{2}}{2}

Add a constant to the solution

= 30 x - \frac{x ^{2}}{2} + C

Popular Examples

integral of x(sin(3x))

\int x (sin (3 x)) d x

integral of 4x^2+5

\int 4 x^{2} + 5 d x

integral of 6xcos(2x+5)

\int 6 x cos (2 x + 5) d x

integral of 6x(3x^2+7)^6

\int 6 x (3 x^{2} + 7)^{6} d x

integral of (x^4)/(x^2-x-2)

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

Frequently Asked Questions (FAQ)

What is the integral of 30-x ?
The integral of 30-x is 30x-(x^2)/2+C