exercise:6c30e422d1: Difference between revisions
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<ul style{{=}}"list-style-type:lower-alpha" | <ul style{{=}}"list-style-type:lower-alpha"> | ||
<li> | <li> | ||
Integrate <math>\int \sec x \; dx</math> by the technique | Integrate <math>\int \sec x \; dx</math> by the technique | ||
for integrating rational functions of | for integrating rational functions of | ||
trigonometric functions.</li> | trigonometric functions.</li> | ||
<li>We have already shown | <li>We have already shown that | ||
<math display="block"> | <math display="block"> | ||
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</math> | </math> | ||
Show that this solution agrees with the one found | Show that this solution agrees with the one found | ||
in | in (a) for an appropriate | ||
choice of the constant <math>c</math>.</li> | choice of the constant <math>c</math>.</li> | ||
</ul> | </ul> | ||
Latest revision as of 02:32, 24 November 2024
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[/math]
- Integrate [math]\int \sec x \; dx[/math] by the technique for integrating rational functions of trigonometric functions.
- We have already shown that
[[math]] \int \sec x \; dx = \ln|\sec x + \tan x| + c . [[/math]]Show that this solution agrees with the one found in (a) for an appropriate choice of the constant [math]c[/math].