integration of sin ^ 7 x dx
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∫sin7xdx=∫sinx(sin6x)dx
= ∫sinx(1−cos2x)3dx
= ∫sinx(1−3cos2x+3cos4x−cos6x)dx
= ∫sinxdx−3∫cos2xsinxdx+3∫cos4xsinxdx−∫cos6xsinxdx
=−cosx+cos3x−35cos5x+17cos7x+c
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