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OCR Core 4 Module RevisionSheet - Mathshelper

OCR core 4 Module Revision SheetThe C4 exam is 1 hour 30 minutes long. You are allowed a graphics you go into the exam make sure you are fully aware of thecontents of the formula bookletyou receive. Also be sure not to panic; it is not uncommon to get stuck on a question (I vebeen there!). Just continue with what you can do and return atthe end to the question(s)you have found hard. If you have time check all your work, especially the first question youattempted.. always an area prone to Review binomial expansion from C2 for (x+y)nfor positive integern. Notice that it isvalid foranyxandyand that the expansion hasn+ 1 terms. The general binomial expansion is given by(1 +x)n= 1 +nx+n(n 1)2!x2+n(n 1)(n 2)3!x3+ and is valid for anyn(fractional or negative) but 1< x <1 ( |x|<1). Notice alsoit must start with a 1 in the brackets.

Be on the lookout for expressions where the top line is almost the derivative of the bottom line. For example3 Z x3 x4 +1 dx = 1 4 Z 4x3 x4 +1 dx = 1 4

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