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Popular >

integral from-1 to 5 of (x-8)^2

Solution

\int_{- 1}^{5} (x - 8)^{2} d x

Solution

234

Solution steps

\int_{- 1}^{5} (x - 8)^{2} d x

Expand

(x - 8)^{2} : x^{2} - 16 x + 64

= \int_{- 1}^{5} x^{2} - 16 x + 64 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_{- 1}^{5} x^{2} d x - \int_{- 1}^{5} 16 x d x + \int_{- 1}^{5} 64 d x

\int_{- 1}^{5} x^{2} d x = 42

\int_{- 1}^{5} 16 x d x = 192

\int_{- 1}^{5} 64 d x = 384

= 42 - 192 + 384

Simplify

= 234

Graph

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\int_{- 2}^{- 1} cos (\frac{nπ x}{2}) d x

integral from 0 to pi/(30) of 20cos(5x)

\int_{0}^{\frac{π}{30}} 20 cos (5 x) d x

integral from-3 to 5 of (x/2+5)

\int_{- 3}^{5} (\frac{x}{2} + 5) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 5 of (x-8)^2 ?
The integral from-1 to 5 of (x-8)^2 is 234