exercise:9fab66b173: Difference between revisions
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<ul style{{=}}"list-style-type:lower-alpha" | <ul style{{=}}"list-style-type:lower-alpha"> | ||
<li> | <li>Let <math>n \geq 2</math> be an integer, and derive | ||
Let <math>n \geq 2</math> be an integer, and derive | a reduction formula for <math>\int \cot^nx x \; dx</math> analogous to [[guide:3e424a0386#theorem-1|theorem]].</li> | ||
a reduction formula for | <li>Use the formula derived in (a) to integrate <math>\int \cot^5 3\theta \; d\theta</math>.</li> | ||
<math>\int \cot^nx x \; dx</math> | |||
analogous to | |||
<li>Use the formula derived in | |||
to integrate <math>\int \cot^5 3\theta \; d\theta</math>.</li> | |||
</ul> | </ul> | ||
Latest revision as of 02:16, 24 November 2024
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[/math]
- Let [math]n \geq 2[/math] be an integer, and derive a reduction formula for [math]\int \cot^nx x \; dx[/math] analogous to theorem.
- Use the formula derived in (a) to integrate [math]\int \cot^5 3\theta \; d\theta[/math].