What is the integral from 0 to 6.7 of 2t^3-8.5t ?

The integral from 0 to 6.7 of 2t^3-8.5t is 816.77355

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integral from 0 to 6.7 of 2t^3-8.5t

\int_{0}^{6.7} 2 t^{3} - 8.5 t d t

816.77355

Solution steps

\int_{0}^{6.7} 2 t^{3} - 8.5 t d t

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}^{6.7} 2 t^{3} d t - \int_{0}^{6.7} 8.5 t d t

\int_{0}^{6.7} 2 t^{3} d t = 1007.55605

\int_{0}^{6.7} 8.5 t d t = 190.7825

= 1007.55605 - 190.7825

Simplify

= 816.77355

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What is the integral from 0 to 6.7 of 2t^3-8.5t ?
The integral from 0 to 6.7 of 2t^3-8.5t is 816.77355