2x" /(x+1)} You found that the reduction formula of a certain integral is I, = 2n In-1 2n+3 and that 2n+3 2 Io = V(x + 1)*. What is I2? O 2 8 xV(x+ 1)³ 35 1}* – 16 V(x + 1)³ 105 O 2 8. xV(x + 1}* + 16 (x + 1)³ 105 35*V(x + 1)3 O 2 xVx + 1)* 16 *V(x + 1)* + V(x + 1)³ 105 35 Vx + 1)° + 3*V O 2 8 x/(x+1)³ + 16 Vx + 1) 105

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 In
2x" /(x+1)3
2n
2n+3
2n+3'n-1 and that
Io =
V(x + 1)°. What is I2?
2
8
16
x²V(x + 1)³ .
7
-xV(x + 1)³
(x + 1)³
105
35
O 2
8
16
x²V(x + 1)* +
35
xV(x + 1)*
V(x + 1)³
105
2
xV(x + 1)* – xV(x+ 1)* +
8
16
V(x + 1)3
105
O 2
8
16
x²V(x + 1)³
35*V(x + 1)³ +
V(x + 1)
105
Transcribed Image Text:You found that the reduction formula of a certain integral is In 2x" /(x+1)3 2n 2n+3 2n+3'n-1 and that Io = V(x + 1)°. What is I2? 2 8 16 x²V(x + 1)³ . 7 -xV(x + 1)³ (x + 1)³ 105 35 O 2 8 16 x²V(x + 1)* + 35 xV(x + 1)* V(x + 1)³ 105 2 xV(x + 1)* – xV(x+ 1)* + 8 16 V(x + 1)3 105 O 2 8 16 x²V(x + 1)³ 35*V(x + 1)³ + V(x + 1) 105
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