document.write( "Question 132348: I need some help with integrals. Here is one a do not get: intergral of (e^x)/(1+e^x)^2 with the min 0 and max 2 \n" ); document.write( "
Algebra.Com's Answer #96716 by stanbon(75887)\"\" \"About 
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intergral of (e^x)/(1+e^x)^2 with the min 0 and max 2integral of
\n" ); document.write( "(e^x)/(1+e^x)^2 with the min 0 and max 2
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\n" ); document.write( "If you are using \"u\" substitution:
\n" ); document.write( "Let u = 1+e^x
\n" ); document.write( "Then du = e^x dx
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\n" ); document.write( "Swithching to the u variable you have:
\n" ); document.write( "So Integral (1+e^x)-2*e^x dx
\n" ); document.write( "= integral u^-2du
\n" ); document.write( "= -u^-1
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\n" ); document.write( "Substituting back to the x variable you have:
\n" ); document.write( "= -(1+e^x)^-1 evaluated form x= 0 to x = 2
\n" ); document.write( "= [-(1+e^2)^-1] - [-(1+e^0)^-1]
\n" ); document.write( "= [-1/(1+e^2)] + (1/2)
\n" ); document.write( "= [-2+1+e^2]/2(1+e^2)
\n" ); document.write( "= [-1+e^2]/[2(1+e^2)]
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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