document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345256>Question 345256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+int%28+f%28x%29%2C+dx%2C+0%2C+3pi%2F2+%29+where+f%28x%29=+system%28+sin%28x%29+if+0%3C=x%3Cpi%2F2%2C+%281%29++if++%28pi%2F2%29%3C=x%3C=3pi%2F2+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246906 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=246906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=”Garamond” size=”+2”>\r<BR>\n" );
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document.write( "Just divide your integral into two separate parts and add the two.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE\ \ \ \ \ \ \ \ \ \ \int_{0}^{\frac{3\pi}{2}}\ f(x)\,dx\text{  where  }f(x)\ =\ \left\{\sin(x)\text{  if  }0\ \leq\ x\ <\ \frac{\pi}{2}\cr\ \ \ \ \ \ \ 1\text{  if  }\frac{\pi}{2}\ \leq\ x\ \leq\ \frac{3\pi}{2}\">\r<BR>\n" );
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document.write( "can be written as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE\ \ \ \ \ \ \ \ \ \ \int_{0}^{\frac{\pi}{2}}\ \sin(x)\,dx\ +\ \int_{\frac{\pi}{2}}^{\frac{3\pi}{2}}\ \,dx\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE\ \ \ \ \ \ \ \ \ \  -cos(x)\,|_{0}^{\frac{\pi}{2}}\ +\ x\,|_{\frac{\pi}{2}}^{\frac{3\pi}{2}}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE\ \ \ \ \ \ \ \ \ \  0\ -\ (-1)\ +\ \left(\frac{3\pi}{2}\ -\ \frac{\pi}{2}\right)\ =\ 1\ +\ \pi\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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