Integration (some clarifications needed)
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Hi , I am not sure hwo to integrate this equation, y = xe^x
Do you do this x (e^x)? There isn't much to integrate, it seems.
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For O levels right?
Am I right to say this is only a part of the question? A hence question?
If so, do post out the whole question. Thanks.
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sorry, but I encountered some difficulties in uploading the diagram. Will post it up foryou tomorrow. For now, I guess, you can best help me by explaining to me how to integrate the above term.
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I just realised that if you have the Panpac textbook, you may refer to page 438, question 10.
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It's not possible at O levels to integrate this without the other parts of the question to show. It's possible at A levels though.
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Originally posted by anpanman:
I just realised that if you have the Panpac textbook, you may refer to page 438, question 10.
dun think I hv the textbook
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Originally posted by anpanman:
I just realised that if you have the Panpac textbook, you may refer to page 438, question 10.
You were asked to show that d/dx[(x-1)e^x] = xe^x.Therefore if you integrate xe^x... you should get (x-1)e^x.
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Hi,
To integrate xe^x directly, we need to use an advanced technique called integration by parts, which is not covered in the O-level mathematics syllabus.
A typical exam question will require the student to carry out differentiation of an expression first, say d/dx [(x-1)e^x] = xe^x. Then another part will ask the student to reverse the process.
Hope that clarifies. Thanks!
Cheers,
Wen Shih -
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this is the qns