document.write( "Question 1156762: Find all the antiderivatives for the following function. Check your work by taking the derivative.
\n" ); document.write( "  f(y)= − 8/y^9
\n" ); document.write( "(use C as the arbitrary constant)
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Algebra.Com's Answer #779538 by MathLover1(20850)\"\" \"About 
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\"1dx+%28-8%2Fy%5E9%29\"=\r
\n" ); document.write( "\n" ); document.write( " ∫\"1dx=+x\" add constant\r
\n" ); document.write( "\n" ); document.write( " ∫\"1dx=+x%2BC\"\r
\n" ); document.write( "\n" ); document.write( " ∫\"1dx+%28-8%2Fy%5E9%29=%28x%2BC%29%28-8%2Fy%5E9%29\"\r
\n" ); document.write( "\n" ); document.write( " ∫\"1dx+%28-8%2Fy%5E9%29=-8%28x%2BC%29%2Fy%5E9\"\r
\n" ); document.write( "\n" ); document.write( "check\r
\n" ); document.write( "\n" ); document.write( "\"%28d%2Fdx%29%28-8%28x%2BC%29%2Fy%5E9%29\"\r
\n" ); document.write( "\n" ); document.write( "treat \"C\", \"y\" as constants \r
\n" ); document.write( "\n" ); document.write( "take the constant out :\"%28a%2A+f%29\"'=\"a\"*\"f\"'\r
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\n" ); document.write( "\n" ); document.write( "=\"-8%281%2Fy%5E9%29%28d%2Fdx%29%28x%2BC%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"-8%281%2Fy%5E9%29%28%28d%2Fdx%29%28x%29%2B%28d%2Fdx%29%28C%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28d%2Fdx%29%281%29=1\"\r
\n" ); document.write( "\n" ); document.write( "\"%28d%2Fdx%29%28C%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "=\"-%288%2Fy%5E9%29%281%2B0%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"-8%2Fy%5E9\"\r
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