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you can substitute u=x^4 for the second one, which leaves you with x^1/2*e^-u, which is (1/2)!=root(pi)/2

@HumbleMak

Ай бұрын

Try the method and see what you get

These are improper integral. Formally, we use to limit definition of that integral. e^-∞ is not 0 but the limit as x --> -∞ of e^x is 0 thats why we need to rededine the integral as the limit as t --> ∞ of the integral from 0 to t of f(x)

@HumbleMak

Ай бұрын

Thanks so much sir 🙏

Easy use gamma function cook both

@HumbleMak

Ай бұрын

That's perfect my dear just that the gama and beta functions are taught sometimes at the level of calculus 3