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Calculus > Definite Integral

 
 
cin123
 
Reply Sun 5 Apr, 2020 09:43 am
how to do this type of question? Evaluate the definite integral (integrate [loge(1+x)/(1+x^2)] dx with upper limit is 1 and lower limit is 0.
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Type: Question • Score: 0 • Views: 273 • Replies: 10

 
engineer
 
  3  
Reply Sun 5 Apr, 2020 02:28 pm
@cin123,
This website will integrate any equation for you and show you all the steps.

https://www.integral-calculator.com/
cin123
 
  1  
Reply Sun 5 Apr, 2020 07:42 pm
@engineer,
But how to key in the equation log base e (1+x) into this integrate calculator website?



engineer
 
  2  
Reply Sun 5 Apr, 2020 08:49 pm
@cin123,
ln (1+x)
cin123
 
  1  
Reply Mon 6 Apr, 2020 12:02 am
@engineer,
How about this type of integral question? (cos^m(x) cos^n(x)) with upper limit is (pi/2), lower limit is 0 dx. I key in the value in the online integral calculator that you recomand to me, but it does not display any step by step working solution.
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cin123
 
  1  
Reply Mon 6 Apr, 2020 12:13 am
@engineer,
how to I key in this whole definite integral equation (integrate [loge(1+x)/(1+x^2)] dx with upper limit is 1 and lower limit is 0 into this URL Link: https://www.integral-calculator.com/.
engineer
 
  1  
Reply Mon 6 Apr, 2020 06:11 am
@cin123,
ln((1+x)/(1+x^2))

Just an editorial comment, these are pretty advanced integrals, Calc II type problems or advanced Calc I. The one above requires a trig substitution if you were to solve by hand. Just from your comments here, it doesn't seem like you are in the right place experience wise to take on these problems. You need to talk to your teacher, IMO.
cin123
 
  1  
Reply Mon 6 Apr, 2020 08:09 pm
@engineer,
The problem is now due to the Covid-19 outbreak situation that happened in almost every country around the world, so I am not able to meet my lecturer and asked him question directly face to face, as all my lesson has changed to online-based lesson from the face to face lesson. I email my lecturer to asked
him about this question on how to attempt, but he did not reply my email message at all, so thats why I have no other alternative choice, but to post my math question here to seek for help, as I could not get any help from my lecturer at all, and I also have a dateline to meet to submit my this math assignment. I really need your help very much!

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knaivete
 
  1  
Reply Mon 6 Apr, 2020 08:23 pm
@cin123,
Copy the expression loge(1+x)/(1+x^2)

Paste it into the box required at https://www.integral-calculator.com/.

Study the course notes and/or textbook the the lecturer set for the assignment.
cin123
 
  1  
Reply Mon 6 Apr, 2020 09:01 pm
@knaivete,
I am refering to this question. (cos^m(x) cos^n(x)) with upper limit is (pi/2), lower limit is 0 dx. I need help on this question also.
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cin123
 
  1  
Reply Mon 6 Apr, 2020 09:09 pm
@knaivete,
I am not refering to this expression loge(1+x)/(1+x^2) question.
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