嘉定一中AP选修课
AP Calculus BC
课程概览
Microeconomics
首页
/
Calculus BC
/
Assignment 8: Integration Techniques II
Assignment 8: Integration Techniques II
积分技巧2
综合积分技巧练习：分部积分、三角积分、部分分式综合
✍️ 5 题
1. ∫ xe⁻ˣ dx = ?
A. -xe⁻ˣ - e⁻ˣ + C
B. xe⁻ˣ + e⁻ˣ + C
C. -xe⁻ˣ + e⁻ˣ + C
D. (x+1)e⁻ˣ + C
2. ∫ sin³(x)cos(x) dx = ?
A. sin⁴(x)/4 + C
B. cos⁴(x)/4 + C
C. -cos⁴(x)/4 + C
D. sin⁴(x) + C
3. To decompose (3x+1)/((x+1)(x-2)) into partial fractions, we write:
A. A/(x+1) + B/(x-2)
B. A/(x+1) + B/(x-2) + C
C. (Ax+B)/(x²-x-2)
D. A/(x+1)² + B/(x-2)
4. ∫ sec³(x) dx requires which technique?
A. Integration by parts
B. Trig substitution
C. Partial fractions
D. U-substitution
5. ∫ dx/√(x²-1) = ?
A. ln|x + √(x²-1)| + C
B. sin⁻¹(x) + C
C. √(x²-1) + C
D. x/√(x²-1) + C
提交答案
重新作答