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1. Consider the following indefinite integral I co cos x sin xdr (a) Compute this integral using the substitution u = cos(x) (b) Compute

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1. Consider the following indefinite integral I co cos x sin xdr (a) Compute this integral using the substitution u = cos(x) (b) Compute this integral using the substitution u = sin(x) (c) Explain why these two answers look different. = 1 - 2. An object moves along a coordinate line with accceleration a(t) second. x units per (a) Find the velocity function given that the velocity at 2 seconds is 1 to the right. (b) Find the initial position given that the position at time 2 is 0 (c) What is the total distance travelled in these two seconds?

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1 a Using the substitution u cosx we can find the differential du sinx dx Rearranging we have du sinx dx Substituting these into the integral cosx sin... blur-text-image

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