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

From Grad Wiki
Jump to navigation Jump to search
Line 1: Line 1:
−
<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>
+
<span class="exam">Evaluate the indefinite and definite integrals.
 +
 
 +
::<span class="exam">a) <math>\int x^2\sqrt{1+x^3}dx</math>
 +
::<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) 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 x^2\sqrt{1+x^3}dx}
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}


Foundations:  
1)
2)
Answers:
1)
2)

Solution:

Step 1:  
Step 2:  
Final Answer:  

Return to Sample Exam

Retrieved from "https://gradwiki.math.ucr.edu/index.php?title=009B_Sample_Midterm_1,_Problem_1&oldid=1033"