Evaluate each integral. Then state whether the result indicates that there is more area above or below the x -axis or that areas above and below the axis are equal. ∫ 0 b − 2 e 3 x d x
Evaluate each integral. Then state whether the result indicates that there is more area above or below the x -axis or that areas above and below the axis are equal. ∫ 0 b − 2 e 3 x d x
Solution Summary: The author explains the formula of definite integral to calculate the value of the given integral.
Evaluate each integral. Then state whether the result indicates that there is more area above or below the x-axis or that areas above and below the axis are equal.
∫
0
b
−
2
e
3
x
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
2. Suppose the population of Wakanda t years after 2000 is given by the equation
f(t) = 45000(1.006). If this trend continues, in what year will the population reach 50,000
people? Show all your work, round your answer to two decimal places, and include units. (4
points)
3. Solve the equation, give the answer exactly (no calculator approximations), and show all your
work. (4 points)
log5 2x = 3
Let I =
f(x) dx, where f is the function whose graph is shown.
4
2
y
f
X
1
2
3
4
(a) Use the graph to find L2, R2 and M2.
R₂
M2
=
=
=
(b) Are these underestimates or overestimates of I?
O 42 is an underestimate.
O 42 is an overestimate.
◇ R2 is an underestimate.
OR2 is an overestimate.
OM2 is an underestimate.
○ M2 is an overestimate.
(c) Use the graph to find T2.
T₂ =
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