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Diyadiya
 3 years ago
Evaluate
Diyadiya
 3 years ago
Evaluate

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Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3Equation editor is not working ?

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3Okay integrate 1 to 3/2 x sin(pi x) dx

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3Equation editor is not working :/

wasiqss
 3 years ago
Best ResponseYou've already chosen the best response.0ok diya do it by parts i did it

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3http://ncertbooks.prashanthellina.com/class_12.Mathematics.MathematicsPartII/Integral%20ch_7%2006.11.06.pdf Page number 351 (its written on the top right corner)

wasiqss
 3 years ago
Best ResponseYou've already chosen the best response.0plz show us how to remove modulus

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3full solution is there lol

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3i just wanna know that starting part

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0f=x, f'=dx g'=sin pix g=1/picospix

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3Hm What ? sorry can you explain

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0Do you use u and v or do you use f(x) and g(x) when you integrate by parts.?

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3for parts f(x) and g(x)

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0\[f(x)=x\] \[f'(x)=dx\] \[g'(x)=\sin \pi x\] \[g(x)=\frac{1}{\pi}\cos \pi \]

wasiqss
 3 years ago
Best ResponseYou've already chosen the best response.0bt man how to remove modulus

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3Equation editor isn't working

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3Can you see the post @wasiqss

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0I thought you wanted to integrate the function. Didn't know you were trying to remove the modulus.

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3Mertsj i cant see what you posted ,it just shows [maths processing error ]

wasiqss
 3 years ago
Best ResponseYou've already chosen the best response.0mertsj jus remove the modulus first then i will integrate

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0Is that the problem or not?

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0Then integrate it using the substitutions I gave you.

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0f(x)=x f'(x)=dx g'(x)=sin pi x g(x)= 1/pi cos pi x

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3So we dont have to remove modulus first ?

wasiqss
 3 years ago
Best ResponseYou've already chosen the best response.0yeh diya thats my question

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0Why would you? Integrate the function.

wasiqss
 3 years ago
Best ResponseYou've already chosen the best response.0mertsj we have do something with modulus first

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3This is the solution given in my book

wasiqss
 3 years ago
Best ResponseYou've already chosen the best response.0diya this is techniqu for removing modulus that u need to learn from someone cox im not able to recall it

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0Right. Since it's absolute value there are actually two integrals to do.

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0Where was the modulus removed in diyadiya's example post?

Zarkon
 3 years ago
Best ResponseYou've already chosen the best response.0find where x sin(pi x) is positive and negative

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Which part of the solution don't you understand Diya?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Alright. You must know that the definition of absolute value, that's x=x, if x>=0 and x if x<0. So we have to find when \(x\sin(\pi x)\) is positive and when it's negative.

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3MrMath i cant see Latex

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Lets first consider the interval from (1,0). x is obviously negative in this interval, and so is sin(pi*x) because sin(pi x) would lie either in the third or fourth quadrant for x in (1,0). And hence xsin(pi*x) is the product of two negative number which is positve in (1,0). Following so far?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Alright. You must know that the definition of absolute value, that's x=x, if x>=0 and x if x<0. So we have to find when xsin(πx) is positive and when it's negative.

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3Why is it in the 3rd or 4th Quadrant ?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Because when x in (1,0), the angle, πx in (π,0), right?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2So you know why sin(πx) would be negative in this interval?

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3okay sine is negetive in 3rd & 4th Quadrant

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2And then the xsin(πx) is positve in (1,0).

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Now in the interval (0,1) is xsin(πx) positive or negative?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Lets cut it into two pieces. Is x positive or negative in (0,1)?

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3wait a minute , i'm trying to understand the previous thing :D 1min

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3x is positive in (0,1)

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Good. What about sin(πx)?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Great. So xsin(πx) over all is obviously..?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2What is the next interval we should consider now?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2And xsin(πx) will be positive or negative in this interval?

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3hm x is positive in (1,3/2)

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Correct. But what about sin(πx)?

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3since the angle is b/w (pi ,3pi/2)

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Very good. That means that xsin(πx) will be negative in (1,3/2), right?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2So now since you know where our expression is positive and negative you can rewrite it using the definition of absolute value. Can you do that?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2We have found that it's positive in (1,1) and negative in (1,3/2). You agree?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Didn't we just find that it's positive in (1,0) and in (0,1)?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Okay, the next step is to write it as it's written in your book. :)

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3Thank You soo much :D that was a great explaination :D

Diyadiya
 3 years ago
Best ResponseYou've already chosen the best response.3Now i can do the rest :) Thanks again :)
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