If , where , then the value of…

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

If

F(x)=\int_1^x f(t)\,dt

, where

f(t)=\int_1^{t^2}\frac{\sqrt{1+u^4}}{u}\,du

, then the value of

F''(2)

equals (1)

\frac{7}{4\sqrt{17}}

(2)

\frac{15}{\sqrt{17}}

(3)

\sqrt{257}

(4)

\frac{15\sqrt{17}}{68}

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