Calculus-Sec-7-5-Solution

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Calculus-Sec-7-5-Solution

7.5 Formulas for Integration by SGLee - HSKim, JYLee

http://youtu.be/-N9Fe_Arp2c

1.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-1.html

2.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-3.html

Let . Then and . Therefore we get:

Therefore, .

3.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-4.html

Let . Then , so .

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4.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-7.html

.

5.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-8.html

Let . Then , so .

.

6.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-9.html

7.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-13.html

8.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-14.html

9.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-15.html

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10.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-5.html

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11.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-6.html

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12.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-17.html

13.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-18.html

14.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-19.html

15.

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16.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-11.html

17.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-2.html

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18.

http://matrix.skku.ac.kr/cal-lab/cal-7-5-12.html

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Shing-Tung Yau, 1982 Fields Medalist Shiing-Shen Chern(1911–2004) PhD advisor of Yau