1. Do the following integrals converge or diverge? Prove/fully justify your work. cos²(x + 1) √1+x⁹00 −6+x+x² In(x) + x² (b) (c) (d) So sin(x) + 4 5x dx dx dx dx

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Do the following integrals converge or diverge? Prove/fully justify your work.
(a)
cos²(x + 1)
√1+x900
p∞ −6+x+x²
In(x) + x²
(b)
(c) S
0
(d) L²
f
sin(x) + 4
√x
dx
dx
dx
5x
(3-x)√x+1
dx
Transcribed Image Text:1. Do the following integrals converge or diverge? Prove/fully justify your work. (a) cos²(x + 1) √1+x900 p∞ −6+x+x² In(x) + x² (b) (c) S 0 (d) L² f sin(x) + 4 √x dx dx dx 5x (3-x)√x+1 dx
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