Difference between revisions of "009C Sample Final 2, Problem 6"

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<span class="exam">(a) Express the indefinite integral &nbsp;<math>\int \sin(x^2)~dx</math>&nbsp; as a power series.
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<span class="exam">(a) Express the indefinite integral &nbsp;<math style="vertical-align: -13px">\int \sin(x^2)~dx</math>&nbsp; as a power series.
  
<span class="exam">(b) Express the definite integral &nbsp;<math>\int_0^1 \sin(x^2)~dx</math>&nbsp; as a number series.  
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<span class="exam">(b) Express the definite integral &nbsp;<math style="vertical-align: -14px">\int_0^1 \sin(x^2)~dx</math>&nbsp; as a number series.
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"

Revision as of 18:14, 4 March 2017

(a) Express the indefinite integral    as a power series.

(b) Express the definite integral    as a number series.

Foundations:  


Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  


Final Answer:  
   (a)
   (b)

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