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OpenStudy (anonymous):
what is the integral of x sin x dx
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OpenStudy (anonymous):
Possible intermediate steps: integral x sin(x) dx For the integrand x sin(x), integrate by parts, integral f dg = f g- integral g df, where f = x, dg = sin(x) dx, df = dx, g = -cos(x): = integral cos(x) dx-x cos(x) The integral of cos(x) is sin(x): = sin(x)-x cos(x)+constant
OpenStudy (anonymous):
i found this explanation to be the most concise, as my explanation of the parts formula isn't too clear.
OpenStudy (anonymous):
why is it concise? its standard
OpenStudy (anonymous):
integral u dv = uv - integral v du
OpenStudy (anonymous):
oh... right... nvm...
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OpenStudy (anonymous):
because i remember there was a way to do it by substitution...
OpenStudy (anonymous):
not this one im afraid
OpenStudy (anonymous):
:)
OpenStudy (anonymous):
ok thanks. i learned something too.
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