anonymous
  • anonymous
what is the integration of f(x)= 7 integral of e^x ?
Mathematics
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chestercat
  • chestercat
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anonymous
  • anonymous
7 integral of e^x
anonymous
  • anonymous
i mean this
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anonymous
  • anonymous
The answer is 7 integral of e^x

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anonymous
  • anonymous
can you tell me the reason please?
anonymous
  • anonymous
What's the integral of e^x?
cwrw238
  • cwrw238
e is a special number ( appr ox 2.718) the graph of y = e^x has the property that the value of y at all points on the graph are equal to the slope atthat point thats is d(e^x) / dx = e^x so the integral of e^x is also e^x
anonymous
  • anonymous
$$f(x)=7\int e^x\,\mathrm{d}x=7e^x+C_1\\\int f(x)\,\mathrm{d}x=\int\left(7e^x+C_1\right)\,\mathrm{d}x=7e^x+C_1x+C_2$$

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