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supercrazy92

  • 3 years ago

\[\int\limits_{}^{}\tan^3x secx dx \]

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  1. RadEn
    • 3 years ago
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    first, change tan^3 x = tan^2x tanx

  2. supercrazy92
    • 3 years ago
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    I tried this \[\int\limits_{}^{}(\tan^2x. tanx. secx) dx \] \[\int\limits_{}^{}(\sec^2x-1) (tanx. secx) dx \]

  3. slaaibak
    • 3 years ago
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    Yeah, continue with that and set u = sec x du = sec x tan x

  4. slaaibak
    • 3 years ago
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    du = sec x tan x dx

  5. RadEn
    • 3 years ago
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    ok, then multiply of them by use distributive property = int (sec^2x secxtanx - secxtanx) dx = int (sec^2x secxtanx) dx - int (secxtanx) dx

  6. RadEn
    • 3 years ago
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    case I : int (sec^2x secxtanx) dx use int by subs, like slaaibak said : u=secx case II : int (secxtanx) = secx (i sure u have remembered) :p

  7. supercrazy92
    • 3 years ago
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    I think I do :) thanks @RadEn and @slaaibak

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