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Exercises and solutions to selected problems

แบบฝึกหัดและเฉลยโจทย์บางข้อ

Topic(s) เนื้อหาที่เรียน	Suggested problems from textbook ปัญหาจากท้ายบทที่ควรฝึกทำ	Supplementary problems from Facebook ปัญหาเพิ่มเติมจากเฟซบุค
-Indefinite integrals -Integration by substitutions	4.8 #1-82 Solution 5.5 #17-66 Solution	CalcExerciseCh2 Solution ( Part 1 ) Solution ( Part 2 )
Riemann sum and area under a curve	5.1 #1-18 Solution 5.2 #1-46 Solution
-The first fundamental theorem of calculus -Properties of definite integral -Mean-value theorem -The second fundamental theorem of calculus	5.3 #1-50, 55-62 Solution 5.4 #1-64 Solution 7.1 #1-46 Solution
Areas between curves	5.6 #1-106 Solution
Volume of solids of revolution	6.1 # 1-12, 15-54 Solution 6.2 # 1-12, 15-38 Solution
Arc length of plane curves	6.3 # 1-10 Solution
Integration by parts	8.1 # 1-66 Solution
Integration of trigonometric functions	8.2 # 1-72, 74 Solution
Integration by trigonometric substitutions	8.3 # 1-48, 53-57 Solution
Integration by partial fractions	8.4 # 1-50, 55-56 Solution
Numerical integration	8.6 # 1-26 Solution
-Definition and examples of improper integrals -Gamma function, Beta function, and Laplace transformation	8.7 # 1-72 Solution