find integral of sin x
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sinxdx
=∫eix−e−ix2idx
=12i∫(eix−e−ix)dx
=12i(eixi−e−ix−i)+C
=12i(eixi+e−ixi)+C
=−12(eix+e−ix)+C
=−(eix+e−ix)2+C
=−cosx+C
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