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Popular >

integral of (6x-x^2)

Solution

\int (6 x - x^{2}) d x

Solution

3 x^{2} - \frac{x ^{3}}{3} + C

Solution steps

\int 6 x - x^{2} 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 6 x d x - \int x^{2} d x

\int 6 x d x = 3 x^{2}

\int x^{2} d x = \frac{x ^{3}}{3}

= 3 x^{2} - \frac{x ^{3}}{3}

Add a constant to the solution

= 3 x^{2} - \frac{x ^{3}}{3} + C

Graph

Popular Examples

integral of 3/(sqrt(x^2+16))

\int \frac{3}{x ^{2} + 16} d x

integral of 5x^{-4}

\int 5 x^{- 4} d x

tangent of f(x)= 3/x ,\at x=6 tangent of

f (x) = \frac{3}{x}, at x = 6

derivative of 5ln(cos(x))

\frac{d}{d x} (5 ln (cos (x)))

limit as x approaches 0+of 1/(6x)

x \to 0 + lim (\frac{1}{6 x})

Frequently Asked Questions (FAQ)

What is the integral of (6x-x^2) ?
The integral of (6x-x^2) is 3x^2-(x^3)/3+C