Looks easy though!

Calculus Level 5

∫ 0 π 1 ( 5 + cos ⁡ ( x ) ) 1 3 d x \large \displaystyle \int _{0}^{\pi} \frac{1}{ (5+\cos (x))^{\frac{1}{3}}}\, dx

The integral above has a simple closed form. Find this closed form.

Give your answer to 3 decimal places.


The answer is 1.84554.

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Saarthak Marathe by Saarthak Marathe , 22, India

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1 solution

Samuel Jones
Apr 18, 2016

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I don't feel that there is a "simple closed form" for this question. If you know a closed form for this, please comment it here. Btw, what's the source of this question?

Samuel Jones - 5 years, 1 month ago

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Source: AOPS

Saarthak Marathe - 5 years, 1 month ago

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@Saarthak Marathe Can you please provide the complete link? Thanks.

Samuel Jones - 5 years, 1 month ago

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