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Derivativeshard
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Let f(x)=∫x3exln⁡(t2+1)dtf(x) = \int_{x^3}^{e^x} \ln(t^2 + 1) dtf(x)=∫x3ex​ln(t2+1)dt. Find f′(x)f'(x)f′(x) at x=0x = 0x=0.