Integrating a Derivative Function (Half of FTC)

Explanations 3

• Theorem (FTC part 2): Let FFF be continuous on [a,b][a,b][a,b] and differentiable on (a,b)(a,b)(a,b). If F′F'F′ is integrable on [a,b][a,b][a,b], then ∫abF′(x) dx=F(b)−F(a).\int…

  By Panavia Shou, Moor Xu

• Any theorem comes best with an intuition behind it. Let's consider a position function s(t)s(t)s(t), a function of time. We'll plot it here and label some points: Since this is …

  By Brandon Lin

• Yo, let's have some fun. Okay, good, you've agreed, now do those darn problems!

  By Freya Edholm