Area Under Curves - Calculate & Learn

In summary, the conversation is between two individuals seeking help with a mathematical problem. The problem involves finding the value of an integral using pi and the individuals are struggling to understand how to approach it. One individual suggests using the calculator, but the other advises against it and provides guidance on how to solve it manually. Eventually, the individual figures out the solution and expresses gratitude for the help.
  • #1
don.bandar
7
0
Please guys i have only one shot and I tried but i couldn't

her is the prblem


[PLAIN]http://img87.imageshack.us/img87/5229/27745883.jpg



My Try:

[PLAIN]http://img806.imageshack.us/img806/9801/scan0002y.jpg
 
Last edited by a moderator:
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  • #2
welcome to pf!

hi don! welcome to pf! :smile:

(have a pi: π and an integral: ∫ and try using the X2 and X2 icons just above the Reply box :wink:)
don.bandar said:
Please guys i have only one shot and I tried but i couldn't

her is the prblem

that looks ok to me

now put in the values at x = π/2 and 3π/2 …

what do you get? :smile:
 
  • #3
Hi Tim,

Look, if i do it with the calculator the answer = 8 unit2
but the question askes me for the answer with the pi

for example: = 3pi

and so on


could you wxplai to me please
 
  • #4
hi don! :smile:
patient to doctor: it hurts when i do that :redface:

doctor to patient: then don't do that! :biggrin:
don.bandar said:
… if i do it with the calculator …

then don't do it with the calculator! :rolleyes:

just do it yourself

5[x/2 + sin(2x)/4]π/23π/2

you'll obviously get a multiple of π from the first bit, won't you? :smile:
 
  • #5
hi Tim,

i know about not using the cal., but unlikely:frown:, i don't know how to deal with the pi in such situation. got it?!


i hope if you could explain this point to me:redface:
 
  • #6
what's the difficulty? :confused:

[x/2]π/23π/2

is the value of x/2 when x = 3π/2 minus etc …

what did you make it?​
 
  • #7
Hi Tim,

thank you for your help and encouraging

lt was a average question but i didn't notice that it was easy

now I knew it

the answer is = 5pi/2


thank for your help

i wish you all the best
 

FAQ: Area Under Curves - Calculate & Learn

What is the purpose of calculating the area under curves in scientific research?

The area under a curve is often used to determine the total amount of a certain substance or phenomenon in a given space. This can be useful in fields such as chemistry, physics, and biology, where accurate measurements are necessary for understanding and predicting various phenomena.

How is the area under a curve calculated?

The area under a curve is typically calculated using integration, a mathematical process that involves finding the sum of infinitely small rectangles that make up the curve. This requires knowledge of calculus and can be done manually or with the help of computer software.

Can the area under a curve be negative?

Yes, the area under a curve can be negative if the curve dips below the x-axis. This indicates a decrease or loss in the substance or phenomenon being measured. In scientific research, negative areas can provide valuable insights into the behavior and changes of certain systems.

What are some real-world applications of calculating the area under curves?

The area under curves is used in a variety of scientific fields, including pharmacology, environmental science, and economics. For example, it can be used to determine the concentration of a drug in a patient's blood over time, the amount of pollution in a specific area, or the profits and losses of a company over a period of time.

How can I learn more about calculating the area under curves?

There are many online resources and textbooks available that provide detailed explanations and examples of how to calculate the area under curves. Additionally, taking a course in calculus or a specific scientific field may also cover this topic in depth.

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