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wcaprar

  • 2 years ago

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

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  1. wcaprar
    • 2 years ago
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    I know that this is equivalent to inverse tangent, but is that using a table?

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

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

  4. deepak201001
    • 2 years ago
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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...

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

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

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