real roots.....

\hspace{-16}$Prove that $\mathbf{f(x)=\int_{0}^{\ln (x)}e^t.\sin (\pi.t^2)dt}$. Then prove that \\\\ $\mathbf{\frac{d^2}{dx^2}(f(x))}$ has at least $\mathbf{2}$ positive Real Roots.

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Vivek @ Born this Way ·

If we just calculate f''(x), the roots come out to be x=e^{\sqrt{\frac{2n+1}{2}}} ?

So? What to do with it?

Please Correct me if I'm wrong.

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