(1) In this question we will find a recursive formula for the integral | (In z)" dr. In (n) Find I1 and I2. (b) Fix n 2 3. Use integration by parts on I, to obtain a formula relating I, to In-1 and In-2. (c) Find Is and I9.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 76E
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Assigned Questions
(1) In this question we will find a recursive formula for the integral
In - [ (n2)" dr.
(a) Find I and I2.
(b) Fix n 2 3. Use integration by parts on In to obtain a formula relating I, to In-1 and In-2.
(c) Find Is and Ig.
(2) Compute the following integrals.
sin (4.r) cos²(4r) dr.
"
a Jo
(b) cos(kr)ee dr, Ilint: consider cases for k and L.
2:r – 7
(c) /;
dr.
r2 – 6r +9
1² + 1
dr.
(d) 3 – 3r2 +3x – 1
Transcribed Image Text:Assigned Questions (1) In this question we will find a recursive formula for the integral In - [ (n2)" dr. (a) Find I and I2. (b) Fix n 2 3. Use integration by parts on In to obtain a formula relating I, to In-1 and In-2. (c) Find Is and Ig. (2) Compute the following integrals. sin (4.r) cos²(4r) dr. " a Jo (b) cos(kr)ee dr, Ilint: consider cases for k and L. 2:r – 7 (c) /; dr. r2 – 6r +9 1² + 1 dr. (d) 3 – 3r2 +3x – 1
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