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Popular Calculus >

integral of (L-x)

Solution

\int (L - x) d x

Solution

Lx - \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 = Lx

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x^2)/((x^2+8^2)^{3/2)}

\int \frac{x ^{2}}{( x ^{2} + 8 ^{2} ) ^{\frac{3}{2}}} d x

integral of 1/(sqrt(15-4x-4x^2))

\int \frac{1}{15 - 4 x - 4 x ^{2}} d x

integral of 3-|x|

\int 3 - ∣ x ∣ d x

integral of e^{3u}

\int e^{3 u} d u

integral of xe^{-ln(x)}

\int x e^{- l n (x)} d x

Frequently Asked Questions (FAQ)

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