Thank you so much sir... I'm student of BS physics 4th semester but I was not aware betterly from integration...now your lectures really benefit me... thanks 😊
AP ne bilkul thik farmaya tha k hame koi nhi btata k actually f( x)dx aik area hai or kissi ne nhi btaya k kiss trha ham iss area ko janty hai....... thank you so much 😊🙏
Sir agar kasi student ky 70/100 marks ha in 1st yaer math my or 2nd year my sirf usky "5/100" ha math my.To kia wo combine math ky result my pass ho ga ??? Because 1st. Or 2nd yaer ka result combine hota ha
Sir 4th formula ma apny kha Ky koi function 1/X ki form ma ho to uska (ln ) lety Hain but sir agr function -1/X ho to phr to (ln) nhi le skty bcz log sirf positive KY sath ata hai kindly guide sir or someone else who see my comment😊
You are correct that the natural logarithm function, typically denoted as "ln," is defined for positive values. The natural logarithm is only defined for real numbers greater than 0. In mathematical notation: ln(x) is defined for x > 0 ln(0) is undefined (because division by zero is undefined) ln(x) is undefined for x < 0 (including -1/x) So, if you have a function in the form -1/x, and x is positive, you can calculate ln(x) as long as x is greater than 0. However, if x is negative, you cannot use the natural logarithm function, ln, directly. In cases where you are dealing with functions that may take on both positive and negative values, you would typically need to handle these cases separately. You might use the absolute value function, denoted as |x|, to ensure you are working with a positive value before taking the natural logarithm.
سر میرے خیال میں آپ نے ایک غلطی کی ہے کیونکہ آپ نے 3#ch پہلے لکھا ہے۔جب میں یوٹیوب پر integration سرچ کیا تو آپ کا لیکچر سرچ میں نہیں آیا تو پھر میں نے آپ کے نام سے سرچ کیا پھر مجھے آپ کا لیکچر ملا۔
![Ch#3 Integration | Exercise 3.2 Question no.1 [(i) to (xi)] | Maths intermediate Part 2(Lec 3)](http://i.ytimg.com/vi/EGaQgCrzF6o/mqdefault.jpg)
![Ch#3 Integration | Exercise 3.2 Question no.1 [(i) to (xi)] | Maths intermediate Part 2(Lec 3)](/img/tr.png)
![Ch#3 Integration | Exercise 3.2 Question no.2 [(vii) to (xi)] | Maths intermediate Part 2(Lec 5)](/img/n.gif)
Sir your lectures are really kamal
Allah pak ap ko hamesha esi tarha muskarata rakhay
Thank you so much sir... I'm student of BS physics 4th semester but I was not aware betterly from integration...now your lectures really benefit me... thanks 😊
You are most welcome
AP ne bilkul thik farmaya tha k hame koi nhi btata k actually f( x)dx aik area hai or kissi ne nhi btaya k kiss trha ham iss area ko janty hai....... thank you so much 😊🙏
Sir mujhe lgta tha k mare accademy k maths k sir sab SE amazing hai or ap ko sun k AP SE samj k pta Chala k in reality you are amazing 😍😊🥰
Excellent working Sir
اللّٰہ تعالیٰ آپ کو سلامت رکھے
Shukria ❤️
Ameen 🙏😁😄
MaShaAllah Sir ..........
I m also Lecturer of Mathematics........
But you are endless.........
Allah ap pi Rahmat kary.......
👍🏼👍🏼👍🏼👍🏼❤
Allah AP ko humare Sr pr slamt rakhe ....... Ameeeeeen Sum Ameeeeeeeen 🤲🤲
Great work
MashaAllah sir
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Thanks a lot sir😊 kamal😊
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Thanks for the compliment
Kamaal
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Sir Mathematics hum bs serp aff kai lec dekhtai hai plz other chp vedio also uploaded plz sir
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Shukria ❤️❤️❤️
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You deserve million sir.Thanks alot sir❤
Shukria ❤️
Love you sir❤❤❤❤❤
Very nice sir g ma apky saat PHD karna chahta hu ap as a supervisor muje apna student rkhngy kia?
sir when are u going to start F.sc 2nd year punjab board chapter 6 conic section? plz reply
Very well Explained ❤❤❤❤
Glad you liked it
Nice Methadology sir
powerrr
Sir chap 3.1 kahan upload kii ap na ?
Sir agar kasi student ky 70/100 marks ha in 1st yaer math my or
2nd year my sirf usky "5/100" ha math my.To kia wo combine math ky result my pass ho ga ???
Because 1st. Or 2nd yaer ka result combine hota ha
Sec cube formula???
Sir 4th formula ma apny kha Ky koi function 1/X ki form ma ho to uska (ln ) lety Hain but sir agr function -1/X ho to phr to (ln) nhi le skty bcz log sirf positive KY sath ata hai kindly guide sir or someone else who see my comment😊
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You are correct that the natural logarithm function, typically denoted as "ln," is defined for positive values. The natural logarithm is only defined for real numbers greater than 0. In mathematical notation:
ln(x) is defined for x > 0
ln(0) is undefined (because division by zero is undefined)
ln(x) is undefined for x < 0 (including -1/x)
So, if you have a function in the form -1/x, and x is positive, you can calculate ln(x) as long as x is greater than 0. However, if x is negative, you cannot use the natural logarithm function, ln, directly.
In cases where you are dealing with functions that may take on both positive and negative values, you would typically need to handle these cases separately. You might use the absolute value function, denoted as |x|, to ensure you are working with a positive value before taking the natural logarithm.
sir paper honai walai hai ch 4 math 2
11:30
♥️
سر میرے خیال میں آپ نے ایک غلطی کی ہے کیونکہ آپ نے 3#ch پہلے لکھا ہے۔جب میں یوٹیوب پر integration سرچ کیا تو آپ کا لیکچر سرچ میں نہیں آیا تو پھر میں نے آپ کے نام سے سرچ کیا پھر مجھے آپ کا لیکچر ملا۔
❤️🥰💕🥰