what is the
integration of (sinx+xcosx)/xsinx dx
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your answer is xcosx+sin/xsinxdx
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Hiiiii....
Put xsinx = t ....
dt/dx = dx /dx × sinx + d sinx /dx × x .....
dt =( sinx + xcosx )dx ...
Now..... Integration is become..
Integration of ( dt / t ) = ln t + c ...
= ln ( xsinx ) + c ....
Put xsinx = t ....
dt/dx = dx /dx × sinx + d sinx /dx × x .....
dt =( sinx + xcosx )dx ...
Now..... Integration is become..
Integration of ( dt / t ) = ln t + c ...
= ln ( xsinx ) + c ....
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