?If $f(x)=\int_{0}^{\sin x} \sqrt{1+t^{2}} d t$ and $g(y)=\int_{3}^{y} f(x) d x$

Chapter 4, Problem 76

(choose chapter or problem)

If $f(x)=\int_{0}^{\sin x} \sqrt{1+t^{2}} d t$ and $g(y)=\int_{3}^{y} f(x) d x$, find $g^{\prime \prime}(\pi / 6)$.

Equation Transcription:

$f(x)=$ $\int\limits_{0}^{sin\ x}\sqrt{1+{t}^{2}}\ dt$

$g(y)=$ $\int\limits_{3}^{y}f(x)\ dx$

$g$ ’’ $(\pi{}/6)$

Text Transcription:

f(x)=integral _0 ^sin x sqrt 1+t^2 dt

g(y)=integral _3 ^y f(x) dx

g prime prime (pi/6)

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?If \(f(x)=\int_{0}^{\sin x} \sqrt{1+t^{2}} d t\) and \(g(y)=\int_{3}^{y} f(x) d x\)