Matematické Fórum

stuart clark · 09. 12. 2018 13:17

If $\displaystyle I=\int^{\sqrt{\frac{101\pi}{2}}}_{0}\arctan(\tan(x^2))dx$ and $\displaystyle J = \sqrt{\frac{\pi^3}{2}}\bigg(\sum^{49}_{k=0}(2k+1)\bigg).$

Then which one is greater of these two quantity.

jardofpr

hi ↑ stuart clark:

are the quantities defined correctly?

quantity $I$ is for sure not greater than $\frac{13\pi}{2}$ or say $25$ using very rough estimate from the top

then $J$ is definitely greater

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stuart clark · 18. 12. 2018 11:00

Thanks ↑ jardofpr:

Matematické Fórum

#1 09. 12. 2018 13:17

camparision of two quantity

#2 17. 12. 2018 18:16 — Editoval jardofpr (17. 12. 2018 18:27)

Re: camparision of two quantity

#3 18. 12. 2018 11:00

Re: camparision of two quantity

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