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integrate 1/(x^2+4x+13)

The first step is to notice that this is a standard integral in the form of 1/(x^2+a^2). In order to reach this form, we must first complete the square. Then we have 1/(x+2)^2-4+13=1/(x+2)^2+9. We can then u...
JT
Answered by Jim T. • Maths tutor
10832 Views

How should I structure my A-level literature essay?

To begin with, it is necessary to have a thesis, which summarises your main argument in a sentence or two. This should be able to answer the questions: 'What is the writer doing', 'Why are they doing this' a...
MM
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Explain the bonding in a metal complex, compare this to an ionic compound and covalent bonding

Metal complexes are kept together by a 'sea' of free electrons holding the negatively charged metal ions togetherCOMPARED TOIonic - positive ions and negative ions held together in a complex by electrostatic...
AS
2486 Views

The curve C has equation (4x^2-y^3+3^2x)=0. The point P (0,1) lies on C: what is the value of dy/dx at P?

Use the chain rule to differentiate the original equation: this results in 8x-3y^2*(dy/dx) + 2ln(3) 3^2x=0. This can be rearranged to find dy/dx as a function of y and x: 3y^2 (dy/dx)=8x+2ln(3)*3^2x -> dy...
TD
Answered by Tutor65063 D. • Maths tutor
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What were the causes and contributing factors of the European Reformation in the sixteenth century?

The European Reformation is a term used to describe the religious, cultural and political shift which marked the change from Medieval Catholic structures in society to an Early Modern Protestant society, the...
HC
Answered by Helena C. • History tutor
6270 Views