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Mathematics 16 Online
OpenStudy (christos):

Could you help me out on this ? https://www.dropbox.com/s/6msdfzewlibz6pv/Screenshot%202013-11-04%2008.18.13.jpg I know that u has to be the numerator but still I can't substitute for du

hartnn (hartnn):

why not ? du =... ?

OpenStudy (anonymous):

after subs....the answer will be in terms of sin^-1

OpenStudy (christos):

du -e^-x

OpenStudy (anonymous):

I thought it would be an inverse trig problem.

OpenStudy (christos):

yes if it wasn't for the limits, I think

hartnn (hartnn):

so whats your new integral in terms of u ?

OpenStudy (anonymous):

Remember that e^0 = 1

OpenStudy (christos):

-arcsin0 + arcsin1 + c

OpenStudy (christos):

@hartnn

OpenStudy (christos):

btw why are there limits involved in the solution ? http://screencast.com/t/HxEu3ROkthGR

OpenStudy (christos):

@hartnn

OpenStudy (anonymous):

1 and 0

hartnn (hartnn):

i'll let batman help u

OpenStudy (christos):

oki

OpenStudy (anonymous):

Did you understand how they got that answer though? pi/2?

OpenStudy (christos):

yea I understand but why we didn't use limits and they somehow involved limits ?

OpenStudy (anonymous):

When you use a u substitution you have to change the limits remember?

OpenStudy (christos):

yes

OpenStudy (anonymous):

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