document.write( "Question 453405: Find the exact value of the integral \"int%28%28sinx%29%5Em%2F%28%28sinx%29%5Em+%2B+%28cosx%29%5Em%29%2C+dx%2C+0%2C+pi%2F2%29\" for all values of m. \n" ); document.write( "
Algebra.Com's Answer #311732 by robertb(5830)\"\" \"About 
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Let x = \"pi%2F2+-+y\". Substitute for x in the integral.
\n" ); document.write( " \"int%28%28sinx%29%5Em%2F%28%28sinx%29%5Em+%2B+%28cosx%29%5Em%29%2C+dx%2C+0%2C+pi%2F2%29\"
\n" ); document.write( "= \r
\n" ); document.write( "\n" ); document.write( "=
\n" ); document.write( "= \"+int%28%28cosy%29%5Em%2F%28%28cosy%29%5Em+%2B+%28siny%29%5Em%29%2Cdy%2C+0%2Cpi%2F2%29%0D%0A\" = \"+int%28%28cosx%29%5Em%2F%28%28cosx%29%5Em+%2B+%28sinx%29%5Em%29%2Cdx%2C+0%2Cpi%2F2%29%0D%0A\" \r
\n" ); document.write( "\n" ); document.write( "==> \"int%281%2C+dx%2C+0%2C+pi%2F2%29\" - \"+int%28%28cosx%29%5Em%2F%28%28cosx%29%5Em+%2B+%28sinx%29%5Em%29%2Cdx%2C+0%2Cpi%2F2%29%0D%0A\" = \"int%28%28sinx%29%5Em%2F%28%28sinx%29%5Em+%2B+%28cosx%29%5Em%29%2C+dx%2C+0%2C+pi%2F2%29\"
\n" ); document.write( "<==> \"int%281%2C+dx%2C+0%2C+pi%2F2%29\" = \"2%2Aint%28%28sinx%29%5Em%2F%28%28sinx%29%5Em+%2B+%28cosx%29%5Em%29%2C+dx%2C+0%2C+pi%2F2%29\" \r
\n" ); document.write( "\n" ); document.write( "==> \"%281%2F2%29%2A%28pi%2F2%29\" = \"int%28%28sinx%29%5Em%2F%28%28sinx%29%5Em+%2B+%28cosx%29%5Em%29%2C+dx%2C+0%2C+pi%2F2%29\"
\n" ); document.write( "Therefore
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