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There are multiple methods that be applied here to reach a solution, integration by substitution or by applying the basic rules of integration. The first step would be to expand the expression within the ...

= 5a - 4a^2The rules of BODMAS (brackets, Orders, Division, Addition, Subtraction) applies. Times the "a" with "-4a" first, forming 4a squared (4a^2). Then group the "3a" and...

Method:We use the trigonometric identity (tanx)^2 +1 = (secx)^2 to understand that (tanx)^2 can be written as (secx)^2-1.We then use the formula booklet to identify that (secx)^2 i...

e.g. given x^2 +3x -8 = 0using the quadratic formulayou find x = (-b +- sqrt(b^2 -4ac))/2ayou then find one root using the plus instead of plus minus sign, and the other root using the minus instead of pl...

This exercise is interesting as it combines a variety of concepts fundamental to integration and maths in general. It also allows to introduce the student to the idea of recursion, very o...