I was thinking if the known methods of integration are enough to integrate any given function. In differentiation, we've evaluated the derivatives of all the basic functions by first principles and then we have the chain rule and product rule to differentiate any possible combination (product or composition) of those basic functions.(adsbygoogle = window.adsbygoogle || []).push({});

But, in integration, if I need to integrate something like sin(x^3)*log(sin(e^(x2)) or something more complicated then all of the methods ,like substitution or integration by parts,will be of no use.

Isn't a more direct method like something similar to the chain rule required for integration?

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# B Why can't a chain rule exist for integration?

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