Yash A.

asked • 03/14/18

estimating definite integral

absolute  value of ∫(sinx)/(1+x8) from 10 to 19 is less than
  1. 10-10
  2. 10-11
  3. 10-7
  4. 10-9

1 Expert Answer

By:

Bobosharif S. answered • 03/14/18

Tutor
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Mathematics/Statistics Tutor

Yash A.

i forgot to give the limits in question (from 10 to  19)
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03/15/18

Bobosharif S.

∫1/(1+x8)dx≤∫x-8dx=-(1/9)x-9|1019=(1/9)(10-10-10-19)=10-19/9(109-1)=
=(10-19/9)(10-1)(108+107+...+10+1)≤10-19*109=10-10
 
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03/15/18

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