What is integral from-2 to 7 of ()((t-7)(1-t)) ?

The answer to integral from-2 to 7 of ()((t-7)(1-t)) is 27

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integral from-2 to 7 of ()((t-7)(1-t))

\int_{- 2}^{7} \frac{d}{d t} ((t - 7) (1 - t)) d t

27

Solution steps

\int_{- 2}^{7} \frac{d}{d t} ((t - 7) (1 - t)) d t

\frac{d}{d t} ((t - 7) (1 - t)) = - 2 t + 8

= \int_{- 2}^{7} - 2 t + 8 d t

\int_{- 2}^{7} - 2 t + 8 d t = 27

= 27

\int_{0}^{0.6} 500 x d x

d er i v a t i v e (8 x^{3} - 5 x + 2)^{π}

t an g e n t y = \frac{1 + x}{1 + e ^{x}}, (0, \frac{1}{2})

x \to 0 + lim (3 x ln (x))

d er i v a t i v e 3 x ln (15 x)

What is integral from-2 to 7 of ()((t-7)(1-t)) ?
The answer to integral from-2 to 7 of ()((t-7)(1-t)) is 27