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wcaprar Group Title

Integrate (x^2+25)^-1 from 5 to infinity. How would I do this WITHOUT using tables?

  • 2 years ago
  • 2 years ago

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  1. wcaprar Group Title
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    I know that this is equivalent to inverse tangent, but is that using a table?

    • 2 years ago
  2. experimentX Group Title
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    then, let x = 5 tan\theta

    • 2 years ago
  3. experimentX Group Title
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    use trigonometric substitution, you will arrive at the same conclusion.

    • 2 years ago
  4. deepak201001 Group Title
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    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...

    • 2 years ago
  5. mareoraft Group Title
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    Using inverse tangent (aka arctan) is not considered using tables.

    • 2 years ago
  6. ebbflo Group Title
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    \[\frac{\pi}{20}\]

    • 2 years ago
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