All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

Using partial fractions formula found in MF15,

Let

Using GC,

Personal Comments:

Firstly, this question is a lot of marks! It is quite a standard tutorial question that tests students on all their integration techniques. I think that they combined system of linear equations here too, which is really neat. Students could also have solved the partial fractions using the substitution (cover-up) method. Do use the MF15 for the partial fractions and integration formula!

Finally, the answers are to be left in rational form, which means to be expressed as a fraction of two integers!

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