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In Integration, unlike Differentiation, there isn’t any product rule nor quotient rule. Having said this, examiners always like to present question in that form of either product or quotient. Students who aren’t able to see through their plot to confuse your mind will fall straight into their trap.
So LOOK OUT!

The question most students will ask next will be what to do when the Integration is presented in the manner as if we can use product or quotient rule aka the given question is in the form of a fraction.

These are the few ways you can work around it

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I was doing Factor, Remainder Theorem with one of my students. She’s a brilliant girl but has yet to achieve the results she truly deserves. I think she knows the reasons clearly :-)

She likes to do things her way.

And I am totally fine with students having their own style. Afterall, my best method might not be their best method. However, if their style is not helping them in terms of scoring, time management…, this is where I step in to influence and get them to better understand how my strategy (usually a much shorter way as I am a lazy person :-)) might help them to understand and get the answer faster and easily.

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I have talked about the 3 main representations of a quadratic equation and each of its significance previously.

Today, I am using a real examination question to illustrate on The Completed Square Form and its significance.

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