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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: find the intergal of
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[Post New]23 Jun 2008 19:38:46 IST
    Subject: find the intergal of
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zark (0)

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intergal      2e5x + e4x -4e3x +4e2x +2ex dx     whole divided by   (e2x+4)* (e2x-1)2
    
[Post New]23 Jun 2008 22:49:33 IST
    Subject: Re:find the intergal of
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vnkt.swaroop (353)

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Let epowerx=t;epowerxdx=dt;take epowerx common from numerator,write all the terms in t.solve it using partial fractions.


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[Post New]24 Jun 2008 01:20:25 IST
    Subject: Re:find the intergal of
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thedumbheadwithnobrain (887)

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\int\frac{2e^{5x}+e^{4x}-4e^{3x}+4e^{2x}+2e^x}{(e^{2x}+4)(e^{2x}-1)^2}dx\\\\\int\frac{e^x(2(e^{2x}-1)^2+e^x(e^{2x}+4))}{(e^{2x}+4)(e^{2x}-1)^2}dx\\\\\int\frac{2e^x}{e^{2x}+4}dx+\int\frac{e^x.e^x}{(e^{2x}-1)^2}dx\\\\=I_1+I_2\\I_1=tan^{-1}\left(\frac{e^x}{2}\right)\\I_2=\frac{-1}{2(e^{2x}-1)}\\So,answer\;is\\tan^{-1}\left(\frac{e^x}{2}\right)-\frac{1}{2(e^{2x}-1)}+C
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