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supercrazy92 Group Title

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

  • 2 years ago
  • 2 years ago

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  1. RadEn Group Title
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    first, change tan^3 x = tan^2x tanx

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

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

    • 2 years ago
  4. slaaibak Group Title
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    du = sec x tan x dx

    • 2 years ago
  5. RadEn Group Title
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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

    • 2 years ago
  6. RadEn Group Title
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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

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

    • 2 years ago
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