SOLUTION: Please help me solve this equation: {{{ int( (1-x)^2010, dx, 0, 1 ) }}}

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Question 344815: Please help me solve this equation:
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
=
--> 0 + 1/2011
= 1/2011

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
I will put  on the limits to show what variable the
limits are on, namely x, since we will be changing the limits:



Let 
Then 
or 

and 

So we substitute  for  and  for 



And we can take out the negative sign in front of the integral:



But the limits are on x.  We want to change the limits
so that they will be on u rather than x.

To do that we substitute the limits for x in the equation
for u which is 

when ,  and
when , ,
so we change the limits to:



and we use the power formula 
 


Edwin


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