University Level · Exam Prep

Calculus 2
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20 exam-style multiple choice questions covering every major topic in Calculus II

20
Questions
50
Minutes
8
Topics

Integration Techniques

IBP, trig sub, partial fractions, improper integrals

∫u dv = uv − ∫v du

Infinite Series

Convergence tests: ratio, root, comparison, integral

Σaₙ · rⁿ = a/(1−r)

Power & Taylor Series

Radius of convergence, Maclaurin expansions, error

eˣ = Σ xⁿ/n!

Applications

Arc length, surface area, volumes, work, centroids

L = ∫√(1+f'²) dx

Differential Equations

Separable, linear first-order, logistic, homogeneous

y' + P(x)y = Q(x)

Parametric & Polar

Curves, area, arc length in polar coordinates

A = ½∫r² dθ
Calculus 2 · Practice Exam
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