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Differentiating the integral of sin t from t = 1 to t = x^2 gives

A2x sin x
Bsin(x^2)
C-cos(x^2)
D2x sin(x^2)
Answer & Solution
Correct answer: D. 2x sin(x^2)
The upper limit is x^2, so the chain rule multiplies sin(x^2) by 2x.
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