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Popular Calculus >

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

Graph

Popular Examples

integral of 4x^2+5

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

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

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

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

\int \frac{( ln ( x ) + 2 ) ^{2}}{x} d x

integral of 3/(300+x)

\int \frac{3}{300 + x} d x

integral of-cos(7x)

\int - cos (7 x) d x

Frequently Asked Questions (FAQ)

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