Let . Which of the following equals…

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

Problem

Let

g(x)=\displaystyle\int_{5}^{x} \ln(t)\,dt

. Which of the following equals

g'(x)

? (a)

\dfrac{1}{x}

(b)

\ln(x)-\ln(5)

(c)

\ln(x)

(d)

\displaystyle\int_{5}^{x}\dfrac{1}{t}\,dt