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You found that the reduction formula of a certain integral is In = a" sin 2x + nx"-1 cos 2x – n (n – 1) In-2 and that I1 sin 2xWhat is I3 ? 1 3 sin (2æ) +a² cos (2æ) + sin (2æ) 4 1 3 3 sin (2a) – a² cos (2æ) + sin (2æ) CoS 4 1 3 3 sin (2a) +a² cos (2æ) – sin (2æ) - 4 3 3 sin (2e) –a cos (2xr) – sin (2)

You found that the reduction formula of a certain integral is In = a" sin 2x + nx"-1 cos 2x – n (n – 1) In-2 and that I1 sin 2xWhat is I3 ? 1 3 sin (2æ) +a² cos (2æ) + sin (2æ) 4 1 3 3 sin (2a) – a² cos (2æ) + sin (2æ) CoS 4 1 3 3 sin (2a) +a² cos (2æ) – sin (2æ) - 4 3 3 sin (2e) –a cos (2xr) – sin (2)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You found that the reduction formula of a certain integral is 1 In x" sin 2x + nx"-1 cos 2x – n (n – 1) In-2 and that I =sin 2xWhat is I3 ? 4 2 O 1 3 x³ sin (2x) + x² cos (2x) + -sin (2x) 4 4 O1 3 -x³ sin (2x) 3 2? cos (2æ) +sin (2æ) sin (2x) 4 O1 sin (2x) + x² cos (2x) 4 3 3 -sin (2x) 4 1 3 x² cos (2x) 4 3 " sin (2a) –° cos (2æ) – sin (2a) sin (2x) 4
Transcribed Image Text:You found that the reduction formula of a certain integral is 1 In x" sin 2x + nx"-1 cos 2x – n (n – 1) In-2 and that I =sin 2xWhat is I3 ? 4 2 O 1 3 x³ sin (2x) + x² cos (2x) + -sin (2x) 4 4 O1 3 -x³ sin (2x) 3 2? cos (2æ) +sin (2æ) sin (2x) 4 O1 sin (2x) + x² cos (2x) 4 3 3 -sin (2x) 4 1 3 x² cos (2x) 4 3 " sin (2a) –° cos (2æ) – sin (2a) sin (2x) 4
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