Thursday, 21 March 2019

calculus - does the integral intinfty1!fracsinleft(cosleft(xright)+sinleft(xsqrt3right)right)xdx converges?

I want to know if this integral converges or not : 1sin(cos(x)+sin(x3))xdx. I tried to integrate by parts or to use dirichlet's test, but it seems impossible to prove that x1sin(cos(t)+sin(t3))dt is bounded. Do you have any idea how to solve this problem?

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