Elementary calculus help...?
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Elementary calculus help...?

[From: ] [author: ] [Date: 14-02-13] [Hit: ]
- The distance it traveled can be expressed with its integral.Part two can be done with the same integral, over a different bound.total distance traveled = ∫ x^4 dx [1,b) d = ∫ x^4 dx [1,5] - 242/5 = 3124/5 - 242/5 = 2882/5 = 576.......
Suppose a car is moving with variable acceleration. Equation of its velocity-time graph is y=x^4
>Find its distance travelled between 1st and 3rd second.
>Find its distance travelled between 4th and 5th second.

-
The distance it traveled can be expressed with it's integral.

y = x⁴
d = ∫₁³ x⁴ dx
d = 1/5x⁵ |₁³
d = 1/5(3)⁵ - 1/5(1)⁵
d = 242/5

Part two can be done with the same integral, over a different bound.

-
total distance traveled = ∫ x^4 dx [1,3] = 242/5

b) d = ∫ x^4 dx [1,5] - 242/5 = 3124/5 - 242/5 = 2882/5 = 576.40
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