vasgasmail vasgasmail
  • 15-05-2020
  • Mathematics
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(e^(2x)(2x+5))/2 - e^(2x)/2+c how to simplify to 1/2e^(2x)[2x+4]+C

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sqdancefan
sqdancefan sqdancefan
  • 15-05-2020

Answer:

  factor out (1/2)e^(2x)

Step-by-step explanation:

Clearly, you factor out (1/2)e^(2x).

  [tex]\dfrac{e^{2x}(2x+5)}{2}-\dfrac{e^{2x}}{2}+C=\dfrac{e^{2x}}{2}\cdot((2x+5)-1)+C\\\\=\boxed{\dfrac{1}{2}e^{2x}(2x+4)+C}[/tex]

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