document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204791>Question 1204791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f'''(t) = -10t - 10 sqrt(t). I found f''(t) = -5t^2 - 20/3t^(3/2) + C but I am struggling to find f'(t) and f(t). I had found an equation for f'(t) = -5/3t^3 - 8/3t^(5/2) + D but the computer says it's not correct. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841283 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "As I see from the error, made by you in your post, you just know the basic rules<BR>\n" );
document.write( "of taking antiderivatives, but are not uniformly attentive.\r<BR>\n" );
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document.write( "When you worked on f'(t), you missed the term C*t in this antiderivative.\r<BR>\n" );
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document.write( "Taking antiderivatives is a part of Calculus, which you need to learn from your textbook, <BR>\n" );
document.write( "if you want to know the subject.\r<BR>\n" );
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document.write( "Taking antiderivative (indefinite integrals) is a key part of Calculus.\r<BR>\n" );
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document.write( "To start, look into this introduction\r<BR>\n" );
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document.write( "https://www.sparknotes.com/math/calcab/introductiontointegrals/section1/\r<BR>\n" );
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document.write( "Normal Calculus student must know the rules of taking antiderivatives as good<BR>\n" );
document.write( "as he (or she) knows the multiplication table.\r<BR>\n" );
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document.write( "Antiderivative f''(t) in the post by @MathLover1 is INCORRECT.\r<BR>\n" );
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