Calculus 2 Practice Test: answer key

Every answer, with a link to its step-by-step solution

#	Answer	Lesson	Solution
1	13e^3x + C	Integrals with e and ln	Solved step by step
2	38.171	Integrals with e and ln	Solved step by step
3	A V ≈ 25.13	Volumes by disks and washers	Solved step by step
4	V ≈ 227.87	Volumes by disks and washers	Solved step by step
5	D V ≈ 25.13	Volumes by shells	Solved step by step
6	V ≈ 1.57	Volumes by shells	Solved step by step
7	L = 5	Arc length	Solved step by step
8	L ≈ 10.222	Arc length	Solved step by step
9	B S ≈ 47.12	Surface area of revolution	Solved step by step
10	S ≈ 24.12	Surface area of revolution	Solved step by step
11	xe^x − e^x + C	Integration by parts	Solved step by step
12	A 8.389	Integration by parts	Solved step by step
13	B 1.57	Trig integrals	Solved step by step
14	43	Trig integrals	Solved step by step
15	−(√(4 − x²))/4x + C	Trig substitution	Solved step by step
16	12.57	Trig substitution	Solved step by step
17	B 0.294	Partial fractions	Solved step by step
18	C 0.470	Partial fractions	Solved step by step
19	1	Improper integrals	Solved step by step
20	2	Improper integrals	Solved step by step
21	A Converges	Limits of sequences	Solved step by step
22	A Converges	Limits of sequences	Solved step by step
23	B Diverges	The divergence test	Solved step by step
24	B Diverges	The divergence test	Solved step by step
25	A Converges	The integral test and p-series	Solved step by step
26	B Diverges	The integral test and p-series	Solved step by step
27	A Converges	Comparison tests	Solved step by step
28	A Converges	Comparison tests	Solved step by step
29	A Converges	Alternating series	Solved step by step
30	A Converges	Alternating series	Solved step by step
31	A Converges	The ratio and root tests	Solved step by step
32	A Converges	The ratio and root tests	Solved step by step
33	(−1, 5)	Power series	Solved step by step
34	1	Power series	Solved step by step
35	1 + x + x²2 + x³6	Taylor and Maclaurin series	Solved step by step
36	1 − 2x + 2x² − 4x³3 + 2x⁴3	Taylor and Maclaurin series	Solved step by step
37	32t	Parametric curves	Solved step by step
38	slope = 6	Parametric curves	Solved step by step
39	A A ≈ 28.27	Area in polar coordinates	Solved step by step
40	A ≈ 56.55	Area in polar coordinates	Solved step by step

Grade

Count your right answers and divide by the number of questions: A 90% or more, B 80%, C 70%, D 60%, F below 60%.