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Mathematics 17 Online
OpenStudy (anonymous):

what is the integral of x sin x dx

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...

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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