Calculus 2 Final Exam Review
2026/2027
Conditionally Convergent - correct answer <<<<<💕💕💕✔✔A series is ∑ a_n is called conditionally
convergent if it is convergent but not absolutely convergent.
Absolutely Convergent - correct answer <<<<<💕💕💕✔✔A series ∑ a_n is called Absolutely
convergent if the series of absolute values ∑ |a_n| is convergent
also if the series is absolutely convergent it is also convergent.
Root Test - correct answer <<<<<💕💕💕✔✔L=1 (nothing) L<1 (converges) L>1 (diverges)
Ratio Test - correct answer <<<<<💕💕💕✔✔L=1 (nothing) L<1 (converges) L>1 (diverges)
The Alternating Series Test - correct answer <<<<<💕💕💕✔✔
Integral Test - correct answer <<<<<💕💕💕✔✔
Surface Area - correct answer <<<<<💕💕💕✔✔
Limit Laws for Sequences - correct answer <<<<<💕💕💕✔✔
Geometric Series - correct answer <<<<<💕💕💕✔✔
Divergence Test - correct answer <<<<<💕💕💕✔✔
P-Series Test - correct answer <<<<<💕💕💕✔✔
, SA Rotation about x-axis - correct answer <<<<<💕💕💕✔✔f(x)
SA Rotating about y-axis - correct answer <<<<<💕💕💕✔✔x
Alternating Series Estimation - correct answer <<<<<💕💕💕✔✔
The Comparison Test - correct answer <<<<<💕💕💕✔✔(i) If ∑bn is convergent and an≤bn for all n,
then ∑ an is also convergent.
(ii) If ∑bn is divergent and an≥bn for all n, then ∑ an is also divergent
.
practice prob - correct answer <<<<<💕💕💕✔✔
Washer Method - correct answer <<<<<💕💕💕✔✔pi∫(outer radius)²-(inner radius)²
(x-axis)
Shell Method - correct answer <<<<<💕💕💕✔✔2pi∫rh
(y-axis)
Integration by Parts - correct answer <<<<<💕💕💕✔✔uv-∫vdu
Arc Length Formula - correct answer <<<<<💕💕💕✔✔∫√(1+(dy/dx)^2)
∫lnu - correct answer <<<<<💕💕💕✔✔ulnu-u
2026/2027
Conditionally Convergent - correct answer <<<<<💕💕💕✔✔A series is ∑ a_n is called conditionally
convergent if it is convergent but not absolutely convergent.
Absolutely Convergent - correct answer <<<<<💕💕💕✔✔A series ∑ a_n is called Absolutely
convergent if the series of absolute values ∑ |a_n| is convergent
also if the series is absolutely convergent it is also convergent.
Root Test - correct answer <<<<<💕💕💕✔✔L=1 (nothing) L<1 (converges) L>1 (diverges)
Ratio Test - correct answer <<<<<💕💕💕✔✔L=1 (nothing) L<1 (converges) L>1 (diverges)
The Alternating Series Test - correct answer <<<<<💕💕💕✔✔
Integral Test - correct answer <<<<<💕💕💕✔✔
Surface Area - correct answer <<<<<💕💕💕✔✔
Limit Laws for Sequences - correct answer <<<<<💕💕💕✔✔
Geometric Series - correct answer <<<<<💕💕💕✔✔
Divergence Test - correct answer <<<<<💕💕💕✔✔
P-Series Test - correct answer <<<<<💕💕💕✔✔
, SA Rotation about x-axis - correct answer <<<<<💕💕💕✔✔f(x)
SA Rotating about y-axis - correct answer <<<<<💕💕💕✔✔x
Alternating Series Estimation - correct answer <<<<<💕💕💕✔✔
The Comparison Test - correct answer <<<<<💕💕💕✔✔(i) If ∑bn is convergent and an≤bn for all n,
then ∑ an is also convergent.
(ii) If ∑bn is divergent and an≥bn for all n, then ∑ an is also divergent
.
practice prob - correct answer <<<<<💕💕💕✔✔
Washer Method - correct answer <<<<<💕💕💕✔✔pi∫(outer radius)²-(inner radius)²
(x-axis)
Shell Method - correct answer <<<<<💕💕💕✔✔2pi∫rh
(y-axis)
Integration by Parts - correct answer <<<<<💕💕💕✔✔uv-∫vdu
Arc Length Formula - correct answer <<<<<💕💕💕✔✔∫√(1+(dy/dx)^2)
∫lnu - correct answer <<<<<💕💕💕✔✔ulnu-u
