2, (b) Prove that, for m - 1 Im-2 m Im= m 2,3,4,5. (c) Use (a) and (b) to compute Im for m = sin2 mx dx for m an arbitrary integer. 70. Evaluate 71. Evaluate sin x In(sin x) dx. Hint: Use Integration by Parts step. 72. Total Energy A 100-watt (W) light bulb has resist 144 ohms (2) when attached to household current, where t varies as V Vo sin(277 ft) (Vo joules) expended by the bulb over a period of T seconds is 110 V, f 60 Hz). The T U = Jo PO)dt where P = V2/R (J/s) is the power. Compute U if the bulb le 5 hours. tn. Use Eqs. (15)-11) 73. Let m,n be integers with m t
2, (b) Prove that, for m - 1 Im-2 m Im= m 2,3,4,5. (c) Use (a) and (b) to compute Im for m = sin2 mx dx for m an arbitrary integer. 70. Evaluate 71. Evaluate sin x In(sin x) dx. Hint: Use Integration by Parts step. 72. Total Energy A 100-watt (W) light bulb has resist 144 ohms (2) when attached to household current, where t varies as V Vo sin(277 ft) (Vo joules) expended by the bulb over a period of T seconds is 110 V, f 60 Hz). The T U = Jo PO)dt where P = V2/R (J/s) is the power. Compute U if the bulb le 5 hours. tn. Use Eqs. (15)-11) 73. Let m,n be integers with m t
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Solve #70.
Transcribed Image Text:2,
(b) Prove that, for m
- 1
Im-2
m
Im=
m
2,3,4,5.
(c) Use (a) and (b) to compute Im for m =
sin2 mx dx for m an arbitrary integer.
70. Evaluate
71. Evaluate sin x In(sin x) dx. Hint: Use Integration by Parts
step.
72. Total Energy A 100-watt (W) light bulb has resist
144 ohms (2) when attached to household current, where t
varies as V Vo sin(277 ft) (Vo
joules) expended by the bulb over a period of T seconds is
110 V, f 60 Hz). The
T
U =
Jo
PO)dt
where P = V2/R (J/s) is the power. Compute U if the bulb le
5 hours.
tn. Use Eqs. (15)-11)
73. Let m,n be integers with m
t
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