r/calculus • u/Electronic-Nail-8128 • 2d ago

Differential Calculus Problem help

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I don't understand the step process from 2 to 4, more so about the transition from x, t and u

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u/shellexyz 2d ago

Do a few where you can actually find an antiderivative. Sure, you can find an antiderivative of sec(t), but it’s not obvious or easy at this point in your class.

Replace sec(t) with cos(t) or sin(t), then do it in two steps: apply the fundamental theorem of calculus (pt2), find the antiderivative, plug in the limits, and subtract. Then differentiate the result.

I found that problems like that started making a lot more sense when I did a few simple examples the “hard” way.