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Popular >

integral of (l-x)

Solution

\int (l - x) d x

Solution

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

Solution steps

\int l - 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 l d x - \int x d x

\int l d x = l x

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/x-e^x

\int \frac{1}{x} - e^{x} d x

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

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

integral of x^4+x^3-6x^2

\int x^{4} + x^{3} - 6 x^{2} d x

integral of (sin(2x))/(1+sin(2x))

\int \frac{sin ( 2 x )}{1 + sin ( 2 x )} d x

integral of 4/(sqrt(-u^2+9))

\int \frac{4}{- u ^{2} + 9} d u

Frequently Asked Questions (FAQ)

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