What is the integral from 0 to 7 of-0.4x^2+1000 ?

The integral from 0 to 7 of-0.4x^2+1000 is 6954.26666…

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integral from 0 to 7 of-0.4x^2+1000

\int_{0}^{7} - 0.4 x^{2} + 1000 d x

6954.26666 \dots

Solution steps

\int_{0}^{7} - 0.4 x^{2} + 1000 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}^{7} 0.4 x^{2} d x + \int_{0}^{7} 1000 d x

\int_{0}^{7} 0.4 x^{2} d x = 45.73333 \dots

\int_{0}^{7} 1000 d x = 7000

= - 45.73333 \dots + 7000

Simplify

= 6954.26666 \dots

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What is the integral from 0 to 7 of-0.4x^2+1000 ?
The integral from 0 to 7 of-0.4x^2+1000 is 6954.26666…