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Popular >

integral from 0 to 6 of 6x-x^2

Solution

\int_{0}^{6} 6 x - x^{2} d x

Solution

36

Solution steps

\int_{0}^{6} 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_{0}^{6} 6 x d x - \int_{0}^{6} x^{2} d x

\int_{0}^{6} 6 x d x = 108

\int_{0}^{6} x^{2} d x = 72

= 108 - 72

Simplify

= 36

Popular Examples

integral of y^2-4

\int y^{2} - 4 d y

integral of cos(x)sin^4(x)

\int cos (x) sin^{4} (x) d x

tangent of f(x)= 7/2 x^2-5x+1 tangent of

f (x) = \frac{7}{2} x^{2} - 5 x + 1

limit as θ approaches 0 of θcot(5θ)

θ \to 0 lim (θ cot (5 θ))

derivative of (x^2-9/(x^2+9))

\frac{d}{d x} (\frac{x ^{2} - 9}{x ^{2} + 9})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of 6x-x^2 ?
The integral from 0 to 6 of 6x-x^2 is 36