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Integration Question (1 Viewer)

S

<Stretch>

Engineered
Joined
Dec 20, 2004
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Sydney
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HSC
2005
Evaluate [(2e^x) / (e^x + 3)] dx using a substitution.

Thanks in advance.
 
P

pLuvia

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∫ (2ex)/(ex+3) dx
Let u = ex+3
du = ex dx

.: 2 ∫ du/u
= 2ln(ex+3) +C
 
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