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integration by parts: x^-2lnx

u=lnx du/dx = 1/x dv/dx=x^-2 v= -1/x =uv - (integral of)vdu/dx (-lnx)/x + integral of x^-2 =(-lnx)/x - 1/x +c
FS
Answered by Fraser S. Maths tutor
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How do I approach an unseen passage question?

Many A level Literature papers will feature unseen passage questions. These are extracts from a novel, or a play, in the genre you are studying, such as tragedy. I have 5 steps to make approaching these daun...
LR
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How do you know when to use passé simple and when to use passé composé?

Passé composé is a form of past which used to express a past action which affects the present moment. Passé simple is a form of past tense which describes an action which is SIMPLY past, meaning that this ac...
JL
Answered by Jeanne L. French tutor
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How can I remember when each statistical test should be used?

At A-Level there are eight different statistical tests that you need to be aware of. Chi-square: Used for nominal data and independent groups, also used for nominal data and a correlation Sign Test: Nominal ...
Answered by Psychology tutor
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Split 1/x^2-1 into partial fractions

First we need to factorise the denominator into (x-1)(x+1). Now we identify that 1/(x-1)(x+1) is equivalent to A/(x-1) + B/(x+1) and now we solve to find the values of A and B. By simplifying the equivalent ...
TM
Answered by Thomas M. Maths tutor
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