❖ᴏɴʟʏ ᴘʀᴏᴘᴇʀ ꜱᴏʟᴠᴇᴅ ᴀɴꜱᴡᴇʀ ᴡɪᴛʜ ɢᴏᴏᴅ ᴇxᴘʟᴀɴᴀɪᴏɴ ɴᴇᴇᴅᴇᴅ
❖ ɴᴏ ꜱᴘᴀᴍᴍɪɴɢ
❖ᴏɴʟʏ ꜰᴏʀ ᴍᴏᴅᴇʀᴀᴛᴏʀꜱ, ʙʀᴀɪɴʟʏ ꜱᴛᴀʀꜱ ᴀɴᴅ ᴏᴛʜᴇʀ ʙᴇꜱᴛ ᴜꜱᴇʀꜱ
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∫20∫4−2x0(8−3x−2y−(3x+y−4))dydx.
Note how we can rewrite the integrand as an integral, much as we did in Section 14.1:
8−3x−2y−(3x+y−4)=∫8−3x−2y3x+y−4dz.
Thus we can rewrite the double integral that finds volume as
∫20∫4−2x0(8−3x−2y−(3x+y−4))dydx=∫20∫4−2x0(∫8−3x−2y3x+y−4dz)dydx
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