The function is $\"image\"$ .

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Re-write the function.

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$\"image\"$

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Multiply and divide the function with $\"image\"$

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$\"image\"$

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$\"image\"$

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Consider $\"image\"$ .

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Apply derivative on each side.

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$\"image\"$

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Substitute $\"image\"$ and $\"image\"$ .

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$\"image\"$

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$\"image\"$

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Substitute $\"image\"$

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$\"image\"$ .

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Therefore $\"image\"$ .

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Consider ln|sec(x)+tan(x)|+C.

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Re-write sec(x) = 1/cos(x) and tan(x)=sin(x)/cos(x)

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$\"\"$

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$\"\"$

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$\"image\"$

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We know that sin(x) = cos(π/2-x) and cos(x) = sin(π/2-x).

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$\"image\"$

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We know that $\"image\"$ then $\"image\"$ .

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We know that $\"image\"$ then $\"image\"$ .

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$\"image\"$

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Cancel the common terms.

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$\"image\"$

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We know that cot(x) = tan(π/2-x).

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$\"image\"$

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$\"\"$

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Therefore $\"image\"$ .