Evaluate the integral

  • Thread starter maobadi
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  • #1
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Evaluate the integral
integral.jpg
 

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  • #2
tiny-tim
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Hi maobadi! :smile:

Split the limits of integration into two or more intervals on each of which the integrand has the same sign, so that, on each interval, you can replace || by either +() or -() :wink:
 
  • #3
HallsofIvy
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Since the quantity inside the absolute value sign is a product of linear terms, x(x-5)(x+7), it is easy to see that it is 0 exactly at x= -7, x= 0, and x= 5. Break the integral into two parts, from -7 to 0 and from 0 to 5, do those integrals separately (being careful about the sign) and add the results.
 

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