Let and define

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

Problem

Let f(t)=et−2f(t)=e^{t}-2 and define g(x)=∫0xf(t) dtg(x)=\displaystyle \int_{0}^{x} f(t)\,dt. For which of the following values of xx is g(x)=0g(x)=0 closest? (a) 0.690.69 (b) 1.561.56 (c) 1.261.26 (d) 1.101.10

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