Please bantu ya berapakah integral sin kuadrat x / 1-cos x dx ?
InzaNha
Masih inget kan rumus sudut rangkap . sin kuadratx = 1-cos2x/2 atau 1/2 (1-cos2x) so , integral sin kuadrat x /1-cosx dx = 1/2 integral (1-cos2x)/1-cosx = 1/2 (x-1/2sin2x)/x-sinx 1/2x-1/4sin2x/x-sinx .
sin kuadratx = 1-cos2x/2 atau 1/2 (1-cos2x)
so ,
integral sin kuadrat x /1-cosx dx =
1/2 integral (1-cos2x)/1-cosx =
1/2 (x-1/2sin2x)/x-sinx
1/2x-1/4sin2x/x-sinx .