How to evaluate $\int_0^\infty \frac{\cos\left(\frac{t x}{\lambda} \right)}{t^ 3}\, \left(\int_0^t s^2\cos (s)\, ds\right)\, dt $?

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This is a problem I encountered in the context of Fourier Transform. I tried to use convolution and transforms, but I didn't have much advance. I would be grateful for any helpful tips.