Calculus/integrals

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Question
Calculate the area bounded by the curve y=16/x^2, the line x=4 and the line y=16.

I know how to do this question without the x=4. What do I do with the x=4?

Answer
I have provided a diagram for you to see things in a clearer manner:





The area of the shaded region is the question's request.

You can consider using the area of a rectangular block (bolded in green) and subtract the area under the curve (between x=1 and x=4) from it to get your answer.

In case you have problems viewing the above image, here is the direct link:

http://imageshack.us/photo/my-images/856/diagramf.png/

Hope this helps. Peace.

Calculus

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Frederick Koh

Expertise

I can answer questions concerning calculus, complex numbers, vectors, statistics , algebra and trigonometry for the O level, A level and 1st/2nd year college math/engineering student.

Experience

3 years helping out in a singaporean youth forum: http://forums.sgclub.com/math_help/ (under the moniker whitecorp) You can also visit my main maths website http://www.whitegroupmaths.com where I have designed "question locker" vaults to store tons of fully worked math problems. Peace.

Organizations
IEEE(Institute of Electrical and Electronics Engineers )

Education/Credentials
Former straight As A level student from HCJC (aka HCI); scored distinctions in both C and Further Mathematics B Eng (Hons) From The National University Of Singapore (NUS)

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