anonymous
  • anonymous
Evaluate the integral of the quotient of the secant squared of x and the square root of the quantity 1 plus tangent x, dx. https://gyazo.com/56a83617dc456d74002487417af5f68a
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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retirEEd
  • retirEEd
Nice. I just started reviewing by calculus yesterday, after my last class was in 1977, yes the year. I am still practicing Calc I. So sorry, I'm to rusty for something this advance.
anonymous
  • anonymous
Refer to the attachment from Mathematica v9, home edition:
1 Attachment
idku
  • idku
what is up with this attachement? If you don't know how to help the user don't just post the solution with answer from mathematica like this, because that's inapropriate.

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idku
  • idku
Of course the steps are right and the quickest (mathematica, dah), but if you still need help or have questions, then reply.
anonymous
  • anonymous
Please explain how it was done.
anonymous
  • anonymous
Recall that \(\dfrac{\mathrm{d}}{\mathrm{d}x}\tan x=\sec^2x\), so a substitution of \(u=\tan x\) would make things simpler: \[\int\frac{\sec^2x}{\sqrt{1+\tan x}}\,\mathrm{d}x\stackrel{u\tan x}{=}\int \frac{\mathrm{d}u}{\sqrt{1+u}}\]

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