what is the integral of 2x cosec^2x^2dx
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4 ɪꜱ ᴛʜᴇ ᴄᴏʀʀᴇᴄᴛ ᴀɴꜱᴡᴇʀ
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=> 1/2[ - ʟɴ|(1/(ꜱɪɴ 2x) + (ᴄᴏꜱ 2x) / (ꜱɪɴ 2x)|] => 1/2[ - ʟɴ|(ᴄᴏꜱᴇᴄ 2x) + (ᴄᴏᴛ2x)|] => -1/2( ʟɴ | ᴄᴏꜱᴇᴄ 2x + ᴄᴏᴛ 2x| + ᴄ. ᴛʜᴇ ʀᴇqᴜɪʀᴇᴅ ɪɴᴛᴇɢʀᴀʟ ɪꜱ -1/2(ʟɴ | ᴄᴏꜱᴇᴄ 2x + ᴄᴏᴛ 2x| + ᴄ.
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