ATAR Notes: Forum
VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: iVincent on July 05, 2015, 05:44:29 pm
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Can anyone show me how to antiderive this equation? This question is taken from the VCAA exam Methods (CAS) Exam 1 2012, Q9b.
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Integration by parts.
int x cosx dx
= int d/dx (sinx) x dx
= x sinx - int sinx d/dx (x) dx
= x sinx - int sinx dx
= x sinx + cosx + c
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Just a bit confused, i thought integration by parts was not in the Methods SD, let alone Specialist. How would we know how to answer that, especially if it's on Exam 1 (Non-Calc)?
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Just a bit confused, i thought integration by parts was not in the Methods SD, let alone Specialist. How would we know how to answer that, especially if it's on Exam 1 (Non-Calc)?
This is the exam in question. As you can see, the first part of this was a set-up so that you knew how to do it. They even say in the first part of the question to use your result from part a (in bold, even)
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This is the exam in question. As you can see, the first part of this was a set-up so that you knew how to do it. They even say in the first part of the question to use your result from part a (in bold, even)
Ah okay. That makes a lot more sense. That makes it an integration by recognition question then, yes?
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Ah okay. That makes a lot more sense. That makes it an integration by recognition question then, yes?
Do the question and find out ;)
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It might out be set out the best, but is the working okay, (if you can actually see it)? I checked the examiners report and the answers is the same :)
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It might out be set out the best, but is the working okay, (if you can actually see it)? I checked the examiners report and the answers is the same :)
When you've jumped to calculation of the definite integral, as long as you also write the actual definite integral, that working should be perfect.