help ploxxxxx

[haughty gyro]

|Sin2x|dx from 0 to pie

[jovial steppe]

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[haughty gyro]

$|Sin2x|dx from 0 to pie$

[floral wren]

infurnus

[junior lily]

$\int_{x=0}^{\pi} |sin2\text{x}|d\text{x}$

[floral wren]

gameswastedme

[junior lily]

What's the area of sin curve from x= 0 to pi

[haughty gyro]

2times

Cos2x/2

Integration from 0 to pie /2

[junior lily]

I don't get you

[sick brook]

reverse chain rule instead of multiply like you would in derivatives, you divide so it cancels. Example: derivative of sin(2x) = cos(2x) * 2. know to find the integral of cos(2x) * 2, you would keep the 2 coefficient, and integrate cos(2x) whihc is sin(2x) /2. This is the opposite of the chain rule since I divided sin(2x) by the derivative of the inside function. so the integral is 2sin(2x)/2 = sin(2x).
you can apply this to your question.

[spark comet]

@haughty gyro there are two ways to do it, either draw the graph of mod(sin2x) and using its periodicity rewrite the limits

or evaluate the integral by separating it into two parts where sin2x is positive and negative

[half flower]

Se can Integrate sin 2x from 0 to π/2 then multiply by 2

Now to integrate sin 2x

Let 2x=u

du = 2 dx

dx=du/2

Now it becomes sin(u)/2 du

1/2 will jump out of the integration sign

So it will be sin(u)du

It will become -cos(u) + C

Or, - cos 2x /2 + c

[haughty gyro]

This is what I did

[half flower]

Oh sorry didn't read that

[haughty gyro]

Ans is 2

[half flower]

Noice

[haughty gyro]

Using this method we get 1

[half flower]

Not noice

Where can be the mistake

[haughty gyro]

Yus

[half flower]

Hmmmmm

[haughty gyro]

Idk

[half flower]

......

.........

[spark comet]

You have to multiply by two cuz you're intergrating from 0 to pi/2

[haughty gyro]

Mai 0 se pie

Tak karra

Tu kings rule ke agge wala

Rule lagaraa

Vo smaaj gyaa

[half flower]

You're Indian?

[haughty gyro]

Yehh

[half flower]

Oh yeah

[spark comet]

I haven't applied kings rule

[haughty gyro]

Ye hota tou

Rule hei haa

Koi

Binna naam kaa

[spark comet]

You can't directly integrate when there is modulus function

[haughty gyro]

Banta bhi kings sei haa

Tru

Thxx

[half flower]

What is kings rule?

[haughty gyro]

X can be written as

Upper limit-x + lower limit

[half flower]

Oh

@haughty gyro which class?

[haughty gyro]

12th

[half flower]

Oh

Noice

[haughty gyro]

Definate

Integration

[half flower]

?

[haughty gyro]

What country are you from??

[half flower]

Bhaiya Hindi samaj gya phir bhi nhi samjhe?

[haughty gyro]

Hindi

Tou baki desh wale

Bhi samaj

Jate

Agle saal

[half flower]

Eh?

[haughty gyro]

Ayega terko

[half flower]

Kaise?

[half flower]

Kya?

[haughty gyro]

Pak nep sri

Ban

[half flower]

Ohhhh

[haughty gyro]

Definate

[half flower]

Okie

Definite*

[haughty gyro]

+CLOSE