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junior college 2 | H2 Maths
4 Answers Below
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hello can anyone help me with these 2 qns ? Thank u !
Date Posted: 3 years ago
Views: 442
the curve?????
sry the qn didnt give any curve
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.
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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done
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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.
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.
Date Posted:
3 years ago
Thank u !!
done
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In case you need the graph for Q10, here you go!
Date Posted:
3 years ago
done
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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.
Date Posted:
3 years ago
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