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Integral of sec x with Weierstrass Substitution (The Art of Integration)
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The integral of sec x is usually taught by using a non-obvious trick: multiplying and dividing by sec x + tan x. Here, we go through an alternate way to solve the integral of sec x by making use of Weierstrass substitution.
Make sure that you're comfortable with the conversions for dx, sin x, and cos x in terms of t first, which I have linked below:
The Art of Integration is an ongoing series where we evaluate integrals with techniques that are not typically taught in the calculus sequence. This is a great way for students in science, engineering, and mathematics to strengthen their integration skills and creativity in solving problems. Most of the problems should be accessible to students that have covered the integration methods from calculus 2.
Looking for a specific problem or topic? Try checking my website:
Make sure that you're comfortable with the conversions for dx, sin x, and cos x in terms of t first, which I have linked below:
The Art of Integration is an ongoing series where we evaluate integrals with techniques that are not typically taught in the calculus sequence. This is a great way for students in science, engineering, and mathematics to strengthen their integration skills and creativity in solving problems. Most of the problems should be accessible to students that have covered the integration methods from calculus 2.
Looking for a specific problem or topic? Try checking my website:
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