What is the antiderivative of \sec(x)?

Deragz 2021-12-13 Answered
What is the antiderivative of sec(x)?
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Expert Answer

einfachmoipf
Answered 2021-12-14 Author has 32 answers
secxdx
Multiply by sec(x)+tan(x)sec(x)+tan(x).
And we have:
sec(x)(sec(x)+tan(x))sec(x)+tan(x)dx=
=sec2(x)+sec(x)tan(x)sec(x)+tan(x)dx=
=1udu=ln|u|+C=ln|sec(x)+tan(x)|+C
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Karen Robbins
Answered 2021-12-15 Author has 49 answers

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