document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563022>Question 563022</A>: <I><SPAN STYLE=\"word-break: break-all;\"> By a change of variables, determine the following integral:\r<BR>\n" );
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document.write( "integral ((5x^3 - 3x^2 + 1)^3/2)(5x^2 - 2x) dx\r<BR>\n" );
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document.write( "Help me please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364744 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By a change of variables, determine the following integral:\r<BR>\n" );
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document.write( "integral ((5x^3 - 3x^2 + 1)^3/2)(5x^2 - 2x) dx<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+5x%5E3+-+3x%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+5x%5E3+-+3x%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy+=+%2815x%5E2+-+6x%29dx+=+3%285x%5E2+-+2x%29dx ALIGN=MIDDLE  ALT=\"dy+=+%2815x%5E2+-+6x%29dx+=+3%285x%5E2+-+2x%29dx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So we can write the integral as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29int%28y%5E%283%2F2%29%2Cdy%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29int%28y%5E%283%2F2%29%2Cdy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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