Mathematics: Post your doubts here!

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Yes, the book is available online, check this website:
http://www.aliensservices.com/E-books.html

As for the solved papers, it's difficult, a mere chance, that they'll be available for S2, very few students choose S2, but I'll search and let you know if I find!
Im trying to open the link but its not working for me ...anyways can you please have a look in to that book and lemm know if itcontains the probability using sets and venn diagrams

yeah please do search..it will surely be a great favour.
 
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View attachment 57680 Can anyone please explain me why the integration of (1/1+y^2) is tan inverse y and how the integration of y/1+y^2 gives .5ln(1+y^2) ???
Look. When you have a fraction. And you have to integrate it.
Consider the denominator. differentiate it. If your differentiated expression is the same as your numerator then you can simply use log to integrate. If not then see if you can make it the same by multiplying. For example. In the above case. Your denominator is
1+y^2
Now differentiate it and you will get 2y right? BUT you have only y in numerator. Therefore you will make them same by taking out 1/2 and then simply use log. I hope Im coherent enough for you to understand.
It will become 0.5ln(1+y^2)
If its still not clear then let me know I will try and explain via working step by step.
 
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Look. When you have a fraction. And you have to integrate it.
Consider the denominator. differentiate it. If your differentiated expression is the same as your numerator then you can simply use log to integrate. If not then see if you can make it the same by multiplying. For example. In the above case. Your denominator is
1+y^2
Now differentiate it and you will get 2y right? BUT you have only y in numerator. Therefore you will make them same by taking out 1/2 and then simply use log. I hope Im coherent enough for you to understand.
It will become 0.5ln(1+y^2)
If its still not clear then let me know I will try and explain via working step by step.

Great ...yeah I have recalled and understood that part.Thanks for it ..but what about the first one ....are we suppose to use any substitution ???
 
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Im trying to open the link but its not working for me ...anyways can you please have a look in to that book and lemm know if itcontains the probability using sets and venn diagrams

yeah please do search..it will surely be a great favour.

For solved past papers, I did search, but they really aren't available online yet...A few sites are updating solved papers, but as I told you, there really is no chance for S2,...I found solved ones for Mechanics, and many other subjects, but no Statistics :(....

Probability using venn diagram is explained in the book, but that's only for understanding of 'combined events' and mutually exclusive events etc, but there is no practice for these...it would be better if you have a look at the book yourself... the link doesn't work? :eek: works fine for me though..okay try to open this:
http://www.aliensservices.com/A_Level_Books.html
 
Messages
1,160
Reaction score
3,858
Points
273
For solved past papers, I did search, but they really aren't available online yet...A few sites are updating solved papers, but as I told you, there really is no chance for S2,...I found solved ones for Mechanics, and many other subjects, but no Statistics :(....

Probability using venn diagram is explained in the book, but that's only for understanding of 'combined events' and mutually exclusive events etc, but there is no practice for these...it would be better if you have a look at the book yourself... the link doesn't work? :eek: works fine for me though..okay try to open this:
http://www.aliensservices.com/A_Level_Books.html

Then isnt there any other book having explaining everything with solved/worked examples ??

the link opens and all I can see is the page loading but not opening.
 

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