What is the antiderivative of \sec(x)?

Deragz

Deragz

Answered question

2021-12-13

What is the antiderivative of sec(x)?

Answer & Explanation

einfachmoipf

einfachmoipf

Beginner2021-12-14Added 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
Karen Robbins

Karen Robbins

Beginner2021-12-15Added 49 answers

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