anonymous
  • anonymous
Integrate (x^2+25)^-1 from 5 to infinity. How would I do this WITHOUT using tables?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I know that this is equivalent to inverse tangent, but is that using a table?
experimentX
  • experimentX
then, let x = 5 tan\theta
experimentX
  • experimentX
use trigonometric substitution, you will arrive at the same conclusion.

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anonymous
  • anonymous
you can always substitute... c in the denominator that x2 +25 can be reduced to y2+1just by putting x= 5y.... but also c that u can put x=5 * tan(theta) which would reduce the lower term to just 1 term i.e sec2(theta) and u can integrate very easily...
anonymous
  • anonymous
Using inverse tangent (aka arctan) is not considered using tables.
anonymous
  • anonymous
\[\frac{\pi}{20}\]

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