Let f(x) = (x+1) arctan(1-2x) + f(t) dt) Which of the following statements are correct? I. f'(0) + f(1) = -3- T π-4f(x) II. lim 2-0 sinh ㅠ III. ["* ((S²(x))² + f(a) f(x) dx = 5 (9x +20) (9π 16 Si f(t)dt x-1 1-2lna IV. lim E D (a) I, II (b) I, III = 4-T (c) I, II, III (d) I, II, IV (e) II, III, IV KIN

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please solve the question I uploaded in the picture. 

Let f(x)
(x + 1)( arctan(1 – 2x) +
f(t) dt
-
Which of the following statements are correct?
I. f'(0) + f'(1) = -3 – A
п — 4f(г)
II. lim
= 4 - T
sinh x
III.
|dx
(9л + 20)
16
Si f(t)dt
IV. lim
141 1- 2ln r
(a)
I, II
(b)
I, III
(c)
I, II, III
(d)
I, II, IV
(e)
II, III, IV
Transcribed Image Text:Let f(x) (x + 1)( arctan(1 – 2x) + f(t) dt - Which of the following statements are correct? I. f'(0) + f'(1) = -3 – A п — 4f(г) II. lim = 4 - T sinh x III. |dx (9л + 20) 16 Si f(t)dt IV. lim 141 1- 2ln r (a) I, II (b) I, III (c) I, II, III (d) I, II, IV (e) II, III, IV
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