Difference between revisions of "009B Sample Final 1, Problem 4"

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<span class="exam"> Compute the following integrals.
 
<span class="exam"> Compute the following integrals.
  
−
::<span class="exam">a) <math>\int e^x(x+\sin(e^x))~dx</math>
+
<span class="exam">a) <math>\int e^x(x+\sin(e^x))~dx</math>
−
::<span class="exam">b) <math>\int \frac{2x^2+1}{2x^2+x}~dx</math>
+
 
−
::<span class="exam">c) <math>\int \sin^3x~dx</math>
+
<span class="exam">b) <math>\int \frac{2x^2+1}{2x^2+x}~dx</math>
 +
 
 +
<span class="exam">c) <math>\int \sin^3x~dx</math>
  
  

Revision as of 21:10, 1 February 2016

Compute the following 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 e^x(x+\sin(e^x))~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{2x^2+1}{2x^2+x}~dx}

c) 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 \sin^3x~dx}


Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  
Step 3:  

(c)

Step 1:  
Step 2:  
Final Answer:  
(a)
(b)
(c)

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