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junior college 2 | H2 Maths
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Elle
Elle

junior college 2 chevron_right H2 Maths chevron_right Singapore

hello can anyone help me with these 2 qns ? Thank u !

Date Posted: 3 years ago
Views: 412
NABIL EL EUCH
NABIL EL EUCH
3 years ago
the curve?????
Elle
Elle
3 years ago
sry the qn didnt give any curve
Eric Nicholas K
Eric Nicholas K
3 years ago
Nabil, there is no need for a diagram of the curve to be presented in a question. For some curves which are easier, graphs are usually not presented in a question.

Or in this case, because the expression y = ½ + sin²x is an always positive curve, the setter of the question probably intends for the student to realise this so that the shape of the graph is not required in the solving of this question.

Nevertheless, I have included a sketch of the graph on Desmos.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
We need to be careful when integrating sin^2 x. We cannot integrate this the usual way we do by raising the power by 1 and dividing by the new power.

In other words.

(sin x)^2

does not integrate to

(sin x)^3 / 3

and using the chain rule reversal

(sin x)^3 / (3 cos x)

does not work either since sin x is non-linear.

As always, my answer might be wrong.
Elle
Elle
3 years ago
Thank u !!
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NABIL EL EUCH
Nabil El Euch's answer
715 answers (A Helpful Person)
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
In case you need the graph for Q10, here you go!
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
A rough idea. I did not use the cover up rule as I’m not sure if you learnt it during your course of studies in Sec 3, Sec 4 and JC.