Difference between revisions of "009B Sample Midterm 1, Problem 1"

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<span class="exam">Divide the interval <math>[0,\pi]</math> into four subintervals of equal length <math>\frac{\pi}{4}</math> and compute the right-endpoint Riemann sum of <math>y=\sin (x)</math>
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<span class="exam">Evaluate the indefinite and definite integrals.
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::<span class="exam">a) <math>\int x^2\sqrt{1+x^3}dx</math>
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::<span class="exam">b) <math>\int _{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{\cos(x)}{\sin^2(x)}dx</math>
  
  

Revision as of 18:42, 19 January 2016

Evaluate the indefinite and definite integrals.

a)
b) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int _{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{\cos(x)}{\sin^2(x)}dx}


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Answers:
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