Perform the antidifferentiation:
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Originally Posted by ^_^Engineer_Adam^_^ Integrate: We proceed by substitution: we have int{(1/t - 1)(1/t^2)}dt let u = 1/t - 1 => du = -t^-2 dt => -du = t^-2 dt so our integral becomes -int{sqrt(u)}du = - (2/3)u^(3/2) + C .....................= (-2/3)(1/t - 1)^(3/2) + C
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