Question
Mon April 14, 2014 By: Nikhil

1)   2)   3)   4)   , Question no 80935, Mathematics

Expert Reply
Wed April 16, 2014
Break the interval into two parts from 0 space t o space straight pi over 2 and straight pi over 2 space t o space straight pi.
 
integral subscript 0 superscript straight pi open square brackets cos x close square brackets d x equals integral subscript 0 superscript straight pi over 2 end superscript open square brackets cos x close square brackets d x space plus integral subscript straight pi over 2 end subscript superscript straight pi open square brackets cos x close square brackets d x  space space space space space space space space space space space space space space space space space space space space space space space space equals integral subscript 0 superscript straight pi over 2 end superscript 0 d x space plus integral subscript straight pi over 2 end subscript superscript straight pi minus 1. d x  space space space space space space space space space space space space space space space space space space space space space space space space equals 0 minus open square brackets straight pi minus straight pi over 2 close square brackets equals minus straight pi over 2
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