Evaluate ∫$$sec$$⁡xsec⁡$$x+$$$$tan$$⁡xdx .

Correct option is 1=tan⁡x−sec⁡x+c

Questions

$Evaluate \int \frac{\sec x}{\sec x + \tan x} d x .$

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=tan⁡x−sec⁡x+c

=tan⁡x+sec⁡x+c

=-tan⁡x−sec⁡x+c

=sec⁡x-tan x+c

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detailed solution

Correct option is A

∫sec⁡xsec⁡x+tan⁡xdx=∫sec⁡x(sec⁡x−tan⁡x)(sec⁡x+tan⁡x)(sec⁡x−tan⁡x)dx=∫sec2⁡x−sec⁡xtan⁡xsec2⁡x−tan2⁡xdx=∫sec2⁡xdx−∫sec⁡xtan⁡xdx=tan⁡x−sec⁡x+c

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Evaluate ∫sec⁡xsec⁡x+tan⁡xdx .

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Ready to Test Your Skills?

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$Evaluate \int \frac{\sec x}{\sec x + \tan x} d x .$