When rewritten in terms of

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

When rewritten in terms of u=3x2+1u=3x^{2}+1, which of the following gives the correct new limits of integration for ∫02sin⁡(3x2+1) 6x dx\displaystyle \int_{0}^{2} \sin(3x^{2}+1)\,6x\,dx expressed as ∫cdsin⁡(u) du\displaystyle\int_{c}^{d}\sin(u)\,du? (a) c=−1,  d=13c=-1,\;d=13 (b) c=0,  d=12c=0,\;d=12 (c) c=1,  d=13c=1,\;d=13 (d) c=1,  d=7c=1,\;d=7

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