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¡¥es, Infinite Series, Improper Integrals. Definition. A function f whose domain is the set of all positive integers 1,2,3.... is called an infinite sequence. The function value f(n) is called the nth term of the sequence. Definition. A sequence {f(n)} is said to have a limit L if, for every positive number ¥å, there is another positive number N (which
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[¹ÌÀûºÐ] ¹ÌºÐ°ú ÀûºÐÀÇ °ü°è¿¡ ´ëÇÑ ÀÚ·á (relationship between integration and differentiation)

[¹ÌÀûºÐ] ¹ÌºÐ°ú ÀûºÐÀÇ °ü°è¿¡ ´ëÇÑ ÀÚ·á (relationship between integration and differentiation)

¡¥5.4. Substitution Theorem for Integrals. Assume g has a continuous derivative g` on an open interval I. Let J be the set of values taken by g on I and assume that f is continuous on J. Then for each x and c in I, we have . - P(x) = right-hand, Q(x) = left-hand, R(x) = P[f(x)] Point. Integration by Parts. - ¡ò u dv = uv - ¡ò v du. Theorem. 5.5. Second
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¡¥ÇÔ¼ö ÀûºÐ °ø½Äµé ¾Ë¾ÆµÎ¸é À¯ÀÍÇÑ Definite Integrals 3. Æí¹ÌºÐ°ú ´Ùº¯¼ö ÇÔ¼ö / ¡Ú Taylor Expansion - ¹°¸®ÇÐÀÇ ¿¬±¸¿¡¼­ ±Ù»çÀûÀÎ ¹æ¹ýÀ¸·Î ¹®Á¦ÀÇ ÇØ¿¡ Á¢±ÙÇÏ´Â °æ¿ì°¡ ´ë´ÜÈ÷ ¸¹´Ù. Taylor expansionÀº ÀÌ·¯ÇÑ °æ¿ì¿¡ °¡Àå ¸¹ÀÌ ÀÌ¿ëµÇ°í ÀÖ´Â Áß¿äÇÑ ¹æ¹ýÀÌ´Ù. ¡Ý ƯÈ÷, ÀÎ ¶§, À̸ç, À̸¦ Maclaurin Àü°³¶ó°í ÇÑ´Ù. ¿¹ 1-1) Maclaurin Àü°³¸¦ ÀÌ¿ëÇÏ¿© ¸¦ °è»êÇ϶ó¡¦
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[È­ÇнÇÇè ·¹Æ÷Æ® º¸°í¼­] PFR ¿¹ºñº¸°í¼­

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¡¥ 6) Numerical Evaluation of Integrals 2. ½ÇÇè ¹æ¹ý 0.1M NaOH ¿Í 0.1M CH3COOC2H5¸¦ 10Liter ¾¿ ÅÊÅ© A¿Í B ¿¡ ä¿î´Ù. 30 µµ ¿Âµµ¸¦ ¸ÂÃá´Ù À¯·®Àº °¢°¢ 100§¢/min À¸·Î ¸ÂÃá´Ù 10ºÐ°£°ÝÀ¸·Î ¼¼ ¹ø ÃøÁ¤ÇÑ´Ù. ¿Âµµ°¡ steady ¿¡ µµ´ÞÇϸé ÀÏÁ¤½Ã·á¸¦ ÃëÇØ HCl·Î ÀûÁ¤ÇÑ´Ù. NaOH¸¦ 100§¢/min, CH3COOC2H5¸¦ 150§¢/min ·Î ¹Ýº¹½ÇÇèÇÑ´Ù. 3 ½ÇÇè ¿¹»ó ÀÌ ½ÇÇèÀÇ ¹ÝÀÀ½ÄÀº ¡¦
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