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Let I(n) = integral from 1 to e of (ln(x)^n)/(x^2) dx where n is a natural number. Firstly find I(0). Show that I(n) = -(1/e) + n*I(n-1). Using this formula find I(1).

For the first part this is a standard polynomial integral whereby we can follow the power rule for anti-differentiation. In part ii), if we look at the question we see that we're trying to get I(n-1) in our ...
MP
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How far do the changes of 1921 explain Stalin’s increasing domination of the communist party in the period 1928-1953?

An excerpt from a longer answer:Significant economic and political changes took place in 1921, that altered the trajectory of the Communist Party. The New Economic Policy (NEP) sought to bring order after Wa...
KH
Answered by Katie H. • History tutor
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Explain the decrease in reactivity of Group 2 elements as you go down the periodic table

Group 2 elements are metals that all form cations in a chemical reaction. This means they lose their valence electrons to become positive (2+) ions. Their reactivity depends on how easily the atoms can lose ...
HS
Answered by Hannah S. • Chemistry tutor
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What is the subjunctive and how do I use it?

The subjunctive is an emotive mood which expresses hopes, emotions, doubts, uncertainty and necessity. It can seem daunting at first, but when you learn how to use it it is a really great way to show your ex...
Answered by • French tutor
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Quels sont les défis en ce qui concerne une société diverse? (An example of a typical question in a French A-Level Oral exam)

On observe une montée de la peur face à l’islam et un réveil de l’intolerance dans certaines parties de la population...L’integration économique ne suit pas leur insertion sociale - un diplôme n’a pas le mêm...
KH
Answered by Kathryn H. • French tutor
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