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If F(x) is the integral of sin t dt from 0 to x², what is F′(x)?

A2x sin(x²)
Bcos(x²)
Csin(x²)
D2x cos(x²)
Answer & Solution
Correct answer: A. 2x sin(x²)
The chain rule with the first part of the theorem gives sin(x²) multiplied by the derivative 2x of the upper limit.
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