anonymous
  • anonymous
integrate sec^4x sqrt(1+tanx) dx
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=integrate+%28sec%28x%29%29%5E4*sqrt%281%2Btanx%29+dx
anonymous
  • anonymous
hope it is something you are looking for
anonymous
  • anonymous
wolfram doesn't help me understand the problem please explain the steps

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anonymous
  • anonymous
click show steps.. there are 2 times of substitute
anonymous
  • anonymous
i want to view another way of doing it and not use 2 sub
anonymous
  • anonymous
can you continue please
anonymous
  • anonymous
i just stucked give me few mins
anonymous
  • anonymous
okay no problem thank you
anonymous
  • anonymous
oh sorry let tanx +1 = t secx^2dx = dt (1+(t-1)^2)t^1/2 (1+t^2+1-2t)t^1/2 {2t^1/2+t^5/2-2t^3/2}dt 4/3t^3/2+2/7t^7/2-4t^5/2 +c now put t = tanx + 1 you will get answer
anonymous
  • anonymous
you need to draw this out, there are too many numbers i am sorry
anonymous
  • anonymous
how can (1+(t-1)^2)t^1/2 be the next step if you subsituted wouldnt it be t^2 sqrt(t)
anonymous
  • anonymous
check attachment
1 Attachment
anonymous
  • anonymous
oh i see what you did, but i was wondering how come the 1+tan^2x cannot become U^2 as well because U=1+tan^2x
anonymous
  • anonymous
sorry but i didn't get it what u said
anonymous
  • anonymous
i let 1+tanx = t
anonymous
  • anonymous
nvm, i got it thank you
anonymous
  • anonymous
welcome

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