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First, we use the trig identities: cos2x=cos^2x-sin^2x, cos^2x+sin^2x=1 and sin2x=2sinxcosx to transform the integral to ∫(cos2x)/(1+sin2x)dx.
We know that ∫f'(x)/f(x)dx = ln|f(x)|+c, so we let f(x)=...

A reaction in which energy is released into the surroundings by the system.

First, simplify √18 by writing it as √(9x2) = √9 x √2 = 3√2.
Then, rationalise the denominator by multiplying both top and bottom of the fraction by √2.
This gives √2 x √2 = 2 in the denominator...

Most people use critics to support an argument, showing that they have come up with valid points and have read widely around the subject.

However to push this further the key word for me is engage....

For the first part of this question it is important to think about key themes and characters and group your quotations accordingly. Don't try to learn whole passages. More often than not the shorter, memo...