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Mathematics 14 Online
OpenStudy (anonymous):

please help me on this

OpenStudy (anonymous):

\[\int\limits_{0.5}^{1} \coth2x dx\] evaluate this

OpenStudy (anonymous):

here is how to find the integral of cothx http://math2.org/math/integrals/more/coth.htm

OpenStudy (anonymous):

I get 0.5635 as the final answer :)

OpenStudy (anonymous):

\[\int coth{2x} dx = \frac{1}{2}log{(sinh{2x})}\]

OpenStudy (anonymous):

thanks :)

OpenStudy (anonymous):

but i don't get the ln and modulus part.

OpenStudy (anonymous):

okay so what part are you up to?

OpenStudy (anonymous):

i get it when we use the exponent and u substitution,but what is the ln |u| + C ? integrated form of exponent?

OpenStudy (anonymous):

yes so \[\int \frac{1}{u} du = ln(u)+c\] My answer above was supposed to be a ln, sorry

OpenStudy (anonymous):

alrighty now i get it :) thanks

OpenStudy (anonymous):

no worries :)

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