Problem 3 Use integration by parts to prove the following reduction formula where n> 2. 1 | sin" (x) dx = п — 1 cos (x) sin"-' (x)+"=1 sin"-2 (x) dx. п-1 n sin"-1 (x) and dv This reduction formula is known as the Wallis Identity. Hint: Let u = sin (x) dx.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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Problem 3 Use integration by parts to prove the following reduction formula where n > 2.
- 1
1
cos (x) sin"- (x)+
п —
1
п-2
| sin" (x) dx = -:
sin"
(х) dx.
п
= sin"-1 (x) and dy =
This reduction formula is known as the Wallis Identity. Hint: Let u
sin (x) dx.
1
Transcribed Image Text:Problem 3 Use integration by parts to prove the following reduction formula where n > 2. - 1 1 cos (x) sin"- (x)+ п — 1 п-2 | sin" (x) dx = -: sin" (х) dx. п = sin"-1 (x) and dy = This reduction formula is known as the Wallis Identity. Hint: Let u sin (x) dx. 1
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