AP® Calculus AB-BC

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Moderate

Extrema for an Accumulation Function

APCALC-BX8TKM

Let $f(x)=\int_{0}^{x}t\sin(t)dt$ for $0\leq t\leq 8$. At which of the following values of $x$ does $f$ attain a relative maximum?

A

$3.141$

B

$2.029$

C

$6.283$

D

$8$