The velocity of an object is given by v=4(sqrt(t+1)) (m/hr). Approximate the displacement of the object on the interval [0,15], for n=5. Use whatever grid points you find convenient to compute the height of the rectangles.

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anonymous · Answer

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anonymous · Answer

First you integrate to find the position equation.  then compute the definite integral over the range 0 to 15.

anonymous · Answer

I got 8/3 (t+1)^(3/2)+C. So, use [0,15], right?

anonymous · Answer

yeah, and in this case you don't even have to solve for C because the two C's cancel when computing the definite integral

anonymous · Answer

u got it albert

anonymous · Answer

and I did get the same value of the integral as you did.  (checked using wolfram alpha, which can do both definite and indefinite integrals)

anonymous · Answer

I'm having problems finding the definite integral. :| lol

anonymous · Answer

168?