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Mathematics 13 Online
OpenStudy (anonymous):

please someone integrate sinaxcosax

hartnn (hartnn):

use the identity \(\sin 2\theta =2 \sin \theta \cos\theta \)

OpenStudy (anonymous):

thanks but can the identity help to integrate the function? please integrate it for me

hartnn (hartnn):

can you integrate sin theta ?

hartnn (hartnn):

because if you can, sinaxcosax is just (1/2) sin 2ax then you are left with \((1/2)\int \sin(2ax)dx\) which is pretty simple to integrate

OpenStudy (anonymous):

yes i can integrate that.Thanks and why cant we use the substitution method to integrate Xe^6x?

hartnn (hartnn):

you mean \(\int xe^{6x}dx\) ? because even after u substitute, you'll still need integration by parts....so no use..

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