exercise:9d871306a0: Difference between revisions
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<ul style{{=}}"list-style-type:lower-alpha" | <ul style{{=}}"list-style-type:lower-alpha"> | ||
<li> | <li> | ||
Write a set of equations for integrating functions | Write a set of equations for integrating functions | ||
of <math>\sqrt{a^2+x^2}</math> which are analogous | of <math>\sqrt{a^2+x^2}</math> which are analogous | ||
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<li>Select an interval to which <math>\theta</math> can be | <li>Select an interval to which <math>\theta</math> can be | ||
restricted so that it is uniquely determined | restricted so that it is uniquely determined | ||
by the equations in part | by the equations in part (a) and so that <math>x</math> can take on all real number | ||
and so that <math>x</math> can take on all real number | |||
values.</li> | values.</li> | ||
</ul> | </ul> | ||
Latest revision as of 01:22, 24 November 2024
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[/math]
- Write a set of equations for integrating functions of [math]\sqrt{a^2+x^2}[/math] which are analogous to equations, but are based on the identity [math]1+\cot^2\theta = \csc^2\theta[/math].
- Select an interval to which [math]\theta[/math] can be restricted so that it is uniquely determined by the equations in part (a) and so that [math]x[/math] can take on all real number values.