Definite Integration

[high zenith]

It's basic integration yet I couldn't solve it.

[hexed crypt]

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[steep spire]

use kings rule

let u=pi-x

then ezpz

[high zenith]

OK let me try that

[steep spire]

$I=\int_0^{\pi}\frac{(\pi-u)\sin(u)}{1+\cos^2(u)}du$

[quartz moon]

ooaa

[high zenith]

@steep spire

[manic lintel]

yws this

[manic lintel]

correct

pi²/4 was my conclusion too

[steep spire]

Good work

$2I=\pi\int_0^{\pi}\frac{\pi\sin(u)}{1+\cos^2(u)}du\overset{v=\cos(u)}{=}\pi\int_{-1}^1\frac{1}{1+v^2}dv=\pi\arctan(v)\bigg\vert_{-1}^1=\pi\cdot\frac{\pi}2=\frac{\pi^2}2\implies \boxed{I=\frac{\pi^2}{4}}$.

[quartz moon]

ooaa

[steep spire]

this is how i did it

[high zenith]

U math major or sorcerer
U skipped every unnecessary thing

[steep spire]

?

[high zenith]

U middle school

[steep spire]

yes

[high zenith]

Which country

[steep spire]

guess

[high zenith]

China

[steep spire]

keep on guessin

[high zenith]

It's America

[steep spire]

nope

[high zenith]

India

Korea

Japan

Singapore

Mars

Andromeda

[high zenith]

Hint

[steep spire]

yeah andromeda

[high zenith]

Bro what age ur

[high zenith]

India

[steep spire]

took you long enough

[steep spire]

🤫

[high zenith]

Ur 16 or 17

And not in middle school but high school

And u don't know Spanish

[steep spire]

2 truths and a lie, which one do you choose?

[high zenith]

U learn Spanish on duolingo

[steep spire]

good boy

so which's the lie?

[high zenith]

U r 18

[steep spire]

nope

[high zenith]

Chose one finger ✌️

[high zenith]

Hm

Jus two question
R u preparing for jee adv thru coaching institute
If yes then how long has it been

[steep spire]

no only mains

[zealous tangle]

@high zenith

<:HelpIcon:1304095958283321385>| Help Reminder

Hello raunak._.k, this is a friendly reminder that your help request has been inactive for more than 24 hours. If you no longer need assistance, please consider closing the thread using the +close command. This thread will be automatically closed in 3 days if it remains inactive.