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Let I = integral[(lnx)/x^2 dx] for simplicity.Firstly, we realise we must use integration by parts. This is:Integral [u(x)v'(x) dx] = u(x)v(x) - Integral[u'(x)v(x) dx]So we can see that, by letting u(x)=l...

It is a key principle of the criminal law that you have the intention, or mens rea, for the offence you are charged with; I would submit that for murder only an intention to kill should suffice. The mens ...

It seems evident to us that when we see a certain certain cause and effect occuring together that we can assume a causal connexion between them. We have seen multiple times that when a billard ball hits a...

Differentiate y with respect to x using quotient rule:y'=[(1/x)(5x^2)-(10x)(lnx)]/(lnx)^2 =[5x-10xlnx]/(lnx)^2Stationary points occur when y'=0, so when y'=0 we have:5x-10xlnx = 0x(5-10lnx)=0So x=0 or 5...

Attachment is a homeostatically driven bond between the infant and their primary caregiver, evolutionarily aimed to protect the infant from danger and increase chances of good care. Attachment is thought ...