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INDEFINITE INTEGRAL

Cambridge,Additional Mathematics,O Level,Mathematics,Integral calculus,Laws of indices,Functions,arbitrary constant
This item is taken from Cambridge O Level Additional Mathematics (4037) Paper 22 of May/June 2010.


To deal with this item, let us summarize the details of the problem:
   (a) Syllabus area: Differentiation and Integration
   (b) Specific topic: Indefinite Integrals

   (c) Formula needed:  
Cambridge,Additional Mathematics,O Level,Mathematics,Integral calculus,Laws of indices,Functions,arbitrary constant
Let us now find the integral of the given.
Cambridge,Additional Mathematics,O Level,Mathematics,Integral calculus,Laws of indices,Functions,arbitrary constant
Cambridge,Additional Mathematics,O Level,Mathematics,Integral calculus,Laws of indices,Functions,arbitrary constant
The third term was simplified using the law for negative indices.
Cambridge,Additional Mathematics,O Level,Mathematics,Integral calculus,Laws of indices,Functions,arbitrary constant
Therefore, 
Cambridge,Additional Mathematics,O Level,Mathematics,Integral calculus,Laws of indices,Functions,arbitrary constant
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