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anonymous

  • 5 years ago

\[\int\limits_{}^{} \sqrt{t^{2}-1} dt\] u-sub?

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  1. anonymous
    • 5 years ago
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    i dont think this is a u sub.... try doing integration by parts

  2. anonymous
    • 5 years ago
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    wait no i dont think that will workx

  3. anonymous
    • 5 years ago
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    I think you want a trig substitution.

  4. anonymous
    • 5 years ago
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    so like maybe the reciprocal of arcsec then?

  5. anonymous
    • 5 years ago
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    cause arcsec is 1/(u^2 - a^2)^.5

  6. anonymous
    • 5 years ago
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    soo maybe if you flip it around for both sides..... you would get the integral of ure EQ.

  7. anonymous
    • 5 years ago
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    just an idea

  8. anonymous
    • 5 years ago
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    \[\int\sqrt{t^2-1}dt = \int sec(t) dt \]

  9. anonymous
    • 5 years ago
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    Beyond that you'll either need to use a table or derive the integral of the sec function.

  10. anonymous
    • 5 years ago
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    just an idea

  11. anonymous
    • 5 years ago
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    Wait, no that's wrong.

  12. anonymous
    • 5 years ago
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    WHYYY

  13. anonymous
    • 5 years ago
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    http://en.wikipedia.org/wiki/Trigonometric_substitution#Integrals_containing_x2_.E2.88.92_a2

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spraguer (Moderator)
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