1. The reduction formula for the a definite integral is I, = (r" sin r + nx"-1 cos r)n(n – 1)1,-2. Given that I = -2, what is the value of I;?2. The reduction formula of a certain integral is1In3n[cos"-1 (3x) sin (3r) + 3(n – 1)I,-2]1sin (3x)3What is I,?

1. The reduction formula for the definite integral is given as follows: In=xn sin x +nxn-1 cos…

Answered: 1. The reduction formula for the a…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.5: Applications

Problem 17EQ

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1. The reduction formula for the a definite integral is In = (r" sin r + nx"-1 cos r) n(n – 1)In-2. Given that I1 = -2, what is the value of I;? 2. The reduction formula of a certain integral is 1 In 3n [cos"- (3r) sin (3r) + 3(n – 1)In-2] 1 I = sin (3r) What is I3?