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Problem 18 - Entrance Test

Let f(x) = ∫₀ˣ t sin t dt. Then f'(x) is:

Correct: C

According to the Fundamental Theorem of Calculus, if f(x) = ∫ₐˣ g(t) dt, then f'(x) = g(x). Therefore, if f(x) = ∫₀ˣ t sin t dt, then f'(x) = x sin x.