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ramyani chakrabarty (3105)

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There is a general method to find integration of sin 9x / sin x , sin 11x/ sin x etc.

we know,
_{[ ]}^{[ ]} sinx dx / sin x = x + C

_{[ ]}^{[ ]} sin 3x dx / sin x = x + sin 2x + C

_{[ ]}^{[ ]} sin 5x dx / sin x = x + sin 2x + sin 4x / 4 + C

therefore,
_{[ ]}^{[ ]} sin 7x dx / sin x = x + sin 2x + sin 4x / 2 + sin 6x / 3 + C

in this method, we can find integration of sin 9x / sin x , sin 11x/ sin x etc.

( courtesy : Chakrapani Dutta, my friend )

NIT silchar electrical engineering

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