AP Calculus BC B Study Guide
Determine if the series Diverges
converges absolutely,
converges conditionally or
diverges:
∞
term-16
Σ((-1)^(n+1) n²) /
(n+1)² n=1
Use the properties of 0.5493
logarithms to approximate
the logarithm given that ln
2=0.6931 and ln 3=1.0986
ln(sqrt3)
Integrate: ∫(sec²5x)/(tan 5x) 1/5 ln|tan 5x|+C
dx
Which grows at the slowest 4x^(3/2)
rate?
Which of the following has 100x
the fastest growth rate?
,Set up but do not solve the V = π∫[(8-x)² - 1²]dx from 0 to 7
integral that shows the
disk method to find the
volume of the solid
generated by revolving the
region enclosed by y=x,
y=7, and x=0 around the
line y=8.
Find the arc length of f(x)=ln ≈ 0.8814
(sin x) on [π/4,
π/2]
Find the arc length of the 33/16
graph of y=xr/6 + 1/(2x) on
the interval [1/2, 2].
, Set up but do not solve the ∫[π(√(x-1))² - π((x-1)²)²]dx from 1 to 2
integral that determines the
volume of the solid formed
by rotating the region
bounded by y = √(x-1) and
y = (x-1)² about the x-axis,
using the washer method.
Express as a partial fraction: [1/(x+3)] + [2/(x+3)²]
(x+5) / (x+3)²
The following integral can I Only
be solved using which of
the following methods?
∫(x²-x-2) / (xr-2x-4)dx
I. U-substitution
II. Partial Fraction
Decomposition
III. Trig Substitution
IV. Power Rule
Evaluate lim x → 0 sinx/x 1
Solve the differential -e^-y = (1/2)t² + C
equation if possible: dy/dt =
te^y
Solve the following initial -[1/(2y²)]=√(1+x²) + C
value problem by
separating the variables
and integrating both sides
if possible:
Determine if the series Diverges
converges absolutely,
converges conditionally or
diverges:
∞
term-16
Σ((-1)^(n+1) n²) /
(n+1)² n=1
Use the properties of 0.5493
logarithms to approximate
the logarithm given that ln
2=0.6931 and ln 3=1.0986
ln(sqrt3)
Integrate: ∫(sec²5x)/(tan 5x) 1/5 ln|tan 5x|+C
dx
Which grows at the slowest 4x^(3/2)
rate?
Which of the following has 100x
the fastest growth rate?
,Set up but do not solve the V = π∫[(8-x)² - 1²]dx from 0 to 7
integral that shows the
disk method to find the
volume of the solid
generated by revolving the
region enclosed by y=x,
y=7, and x=0 around the
line y=8.
Find the arc length of f(x)=ln ≈ 0.8814
(sin x) on [π/4,
π/2]
Find the arc length of the 33/16
graph of y=xr/6 + 1/(2x) on
the interval [1/2, 2].
, Set up but do not solve the ∫[π(√(x-1))² - π((x-1)²)²]dx from 1 to 2
integral that determines the
volume of the solid formed
by rotating the region
bounded by y = √(x-1) and
y = (x-1)² about the x-axis,
using the washer method.
Express as a partial fraction: [1/(x+3)] + [2/(x+3)²]
(x+5) / (x+3)²
The following integral can I Only
be solved using which of
the following methods?
∫(x²-x-2) / (xr-2x-4)dx
I. U-substitution
II. Partial Fraction
Decomposition
III. Trig Substitution
IV. Power Rule
Evaluate lim x → 0 sinx/x 1
Solve the differential -e^-y = (1/2)t² + C
equation if possible: dy/dt =
te^y
Solve the following initial -[1/(2y²)]=√(1+x²) + C
value problem by
separating the variables
and integrating both sides
if possible:
