Integral (4x -3) sin (2x +5)dx
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Integral (4x -3) sin (2x +5)dx
u= (4x -3)
du=4dx
dv=sin (2x +5)dx
v=integral sin (2x +5)dx
=-½cos(2x +5)
Integral (4x -3) sin (2x +5)dx
=-½Integral udv
=-½(uv-integral vdu)
=(4x -3)(-½cos(2x +5))–integral(-½cos(2x +5) ) 4dx
=-½(4x -3)cos(2x +5)+2integral(cos(2x +5) ) dx
=-½(4x -3)cos(2x +5)+sin(2x +5) +c
cmiie