Answer is really nice!

Level pending

If the value of this easy integral

$\displaystyle \int_{0}^{1}{\frac{{x}^{4}{(1-x)}^{4}}{{x}^{2}+1}}$

is $X$ , then give the answer as $\displaystyle \lfloor {10}^{5}X \rfloor$

Details

This is not original.

1 solution

Kartik Sharma
Mar 30, 2015

I will only write the answer considering it is really easy to find -

$\displaystyle \frac{22}{7} - \pi$

Dude !!! You really are very cruel ! -_-

It's really been a long time since I was the first to solve a question and when I finally did , I see that you beat me to it .

A Former Brilliant Member - 6 years, 2 months ago

So how did you make this question with so fitting an answer ?

A Former Brilliant Member - 6 years, 2 months ago

Pi Han Goh - 6 years, 2 months ago

Thanks :)

Btw when are you going to post some questions of your own ? I'm eagerly waiting to solve them !

A Former Brilliant Member - 6 years, 2 months ago

This is a past IIT-JEE problem that was made from the work of the mathematicians.

Ronak Agarwal - 6 years, 2 months ago

Oh! I didn't know that thing. Thanks!

Kartik Sharma - 6 years, 2 months ago