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Integrate ln(x)/(x^3)

Using integration by parts split it into v'=(1/x^3) and u=ln(x). v=-1/2x^2 and u'=1/x. Integral ln(x)/(x^3) = u*v - Integral u'*v = -ln(x)*1/2x^2 - 1/4x^2 + c
AA
Answered by Archie A. Maths tutor
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Find the integral of (x+4)/x(2-x) .dx

In order to integrate the expression we must first rewrite it in terms of Partial Fractions i.e. A/x and B/(2-x), so that when multiplied together we have a fraction with same denominator as the expression w...
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Answered by Aaron T. Maths tutor
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What exactly is a democratic deficit?

A democratic deficit is a great big gaping hole where public engagement with political processes should be. This means any area where citizens like you and me should have a say but don't. Since the UK is a d...
DC
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Can you please give an example of Grice's maxim of quantity?

Grice's maxim of quantity requires that you make your contribution to the conversation as informative as is needed for the current exchange. For example, let's say that A asks B "What did you have for b...
AH
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What is the difference between the denotation and connotation of a word?

The denotation of a word is simply its definition. Whereas the connotations of a word are the ideas which are conjured when reading that specific word. Let's take the word "warm," for example. The ...
AH
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