嘉定一中AP选修课
AP Calculus BC
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Microeconomics
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Unit 7 练习
Unit 7 Practice: Techniques of Integration
积分技巧 练习
📝 5 道选择题
1. ∫ x·eˣ dx is best solved by:
A. Integration by parts
B. Substitution
C. Partial fractions
D. Trig substitution
2. ∫ sin²(x) dx =
A. x/2 - sin(2x)/4 + C
B. sin(2x)/4 + C
C. cos²(x)/2 + C
D. -cos(2x)/4 + C
3. ∫ dx/(x²+1) =
A. arctan(x) + C
B. ln(x²+1) + C
C. arcsin(x) + C
D. 1/(x²+1) + C
4. ∫ dx/(x²-1) is best solved by:
A. Partial fractions
B. Integration by parts
C. Trig substitution
D. Direct integration
5. For ∫ √(1-x²) dx, the best substitution is:
A. x = sin(θ)
B. x = tan(θ)
C. x = sec(θ)
D. u = 1-x²
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