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Popular >

integral from 12 to 5 of (12-6x)

Solution

\int_{12}^{5} (12 - 6 x) d x

Solution

273

Solution steps

\int_{12}^{5} 12 - 6 x d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{5}^{12} 12 - 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_{5}^{12} 12 d x - \int_{5}^{12} 6 x d x)

\int_{5}^{12} 12 d x = 84

\int_{5}^{12} 6 x d x = 357

= - (84 - 357)

Simplify

= 273

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\int_{- 6}^{- 2} 1 d x

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\int_{\frac{π}{2}}^{π} cos^{2} (θ) d θ

Frequently Asked Questions (FAQ)

What is the integral from 12 to 5 of (12-6x) ?
The integral from 12 to 5 of (12-6x) is 273