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Popular >

integral from 0 to 6 of (6-x)

Solution

\int_{0}^{6} (6 - x) d x

Solution

18

Solution steps

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

\int_{0}^{6} 6 d x = 36

\int_{0}^{6} x d x = 18

= 36 - 18

Simplify

= 18

Popular Examples

implicit (dy)/(dx),(5x-y)^2-5y=2 implicit derivative

\frac{d y}{d x}, (5 x - y)^{2} - 5 y = 2

(\partial)/(\partial x)(arccot(x/y))

\frac{\partial}{\partial x} (arccot (\frac{x}{y}))

derivative of (x+6/(x-6))

\frac{d}{d x} (\frac{x + 6}{x - 6})

derivative of sqrt(7+9x)

\frac{d}{d x} (7 + 9 x)

limit as x approaches-1.9 of 2sin(x)

x \to - 1.9 lim (2 sin (x))

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of (6-x) ?
The integral from 0 to 6 of (6-x) is 18