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Some queries (1 Viewer)

HeroicPandas

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1.

Can i just do this?(should i write: using reverse chain rule) Or should i do int. by subsitution?

2.

When i did this question, my subconscious mind memorised the proof and now when i see this question, the memory comes up and i cannot do it myself...so its just a memory exercise

Is there any way to prevent this...
 
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For 3U just write the substitution.

Just say

 

Carrotsticks

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1.

Can i just do this?(should i write: using reverse chain rule) Or should i do int. by subsitution?

2.

When i did this question, my subconscious mind memorised the proof and now when i see this question, the memory comes up and i cannot do it myself...so its just a memory exercise

Is there any way to prevent this...
1. In Extension 1 Mathematics, you will never be required to evaluate an integral like that straight off (as 'obvious' as it may be). You will be given the substitution, so best to use it (doesn't take long anyway). Plus, the question often specifically states 'Using the substitution XXX, evaluate YYY'.

2. I don't quite understand what you're saying. So you're saying that you have memorised the proof subconsciously, but don't really understand what's going on?
 

HeroicPandas

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1. In Extension 1 Mathematics, you will never be required to evaluate an integral like that straight off (as 'obvious' as it may be). You will be given the substitution, so best to use it (doesn't take long anyway). Plus, the question often specifically states 'Using the substitution XXX, evaluate YYY'.

2. I don't quite understand what you're saying. So you're saying that you have memorised the proof subconsciously, but don't really understand what's going on?
In the past, when i did this question, my subconcious mind memorised the proof, so when i face this question again,its just a memorising exercise
 

Carrotsticks

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i dont wanna remember the proof, i wanna think of it by myself,i want to work it out myself
It's a very standard proof, so it's natural that you 'memorised it' in that sense.

The proof you remember is most likely the fastest way (the one that asianese had) the fastest way, so just write your proof out and read it to see how it works and the intuition behind it.
 

HeroicPandas

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It's a very standard proof, so it's natural that you 'memorised it' in that sense.

The proof you remember is most likely the fastest way (the one that asianese had) the fastest way, so just write your proof out and read it to see how it works and the intuition behind it.
so theres no way of overcoming random memorising?
 

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