Another calc. question to check

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Homework Help Overview

The discussion revolves around finding the area bounded by the functions y=sin(x) and y=(x*pi)/12. Participants are verifying the correctness of the approach and calculations involved in determining this area.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are discussing the limits of integration and the method of calculating the area between the two functions. There are questions about the correctness of the second function and the integration process being used.

Discussion Status

The conversation is ongoing, with participants confirming limits of integration and discussing the method of calculation. Some guidance has been offered regarding the interpretation of the functions and the integration process, but no consensus on the final area has been reached.

Contextual Notes

There is some confusion regarding the correct formulation of the second function and the limits of integration. Participants are also exploring the implications of calculating the area on both sides of the x-axis.

laker_gurl3
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Find the area bounded by y=sin(x) and y= x(pi)/12

the final answer i got was A= 1.969

Can anyone please confirm this?
 
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If that second function is y = x*pi/12 it is not correct
 
yeah..that's the second function..
well I am checking it over again, I am not sure how else i can do it
 
just to make sure, another way to write the second function is , (X/12) multiplied by pi
 
laker_gurl3 said:
just to make sure, another way to write the second function is , (X/12) multiplied by pi

That is correct. And you are trying to find the area bounded by the two functions. What integral are you doing, including the limits you are using?
 
i am using 2.446 and 0

2.446 2.446
| |
| sin (x) - | (x/12) multipled by pi
| |
0 0
 
Those are the correct limits. The correct answer is less than 1. Are you using a calculator function to integrate, or doing it by hand?
 
Well, the first part of the answer i got was .9845.. Then i multiplied by 2 to get the area of the other side... does that sound good?
 
laker_gurl3 said:
Well, the first part of the answer i got was .9845.. Then i multiplied by 2 to get the area of the other side... does that sound good?

OK sorry. I assumed you were talking about one side. My mistake.

You should have said your limts were from -2.446 to +2.446 with positive areas
 
Last edited:

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