2. Find the following Integrals a) ſe (lnx)³/2dx 1 X 1 -1 tan-¹(x) dx 1+x² c) ſ sin³(x/2)dx b) √ ² ₁ -1

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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Question
P2. Find the following Integrals
(lnx) ³/² dx
a) Se
1
-1
b) S¹₁
-1
☎ ū
c)
d)
e)
f) S
g)
X
tan-¹(x) dx
1+x²
sin³ (x/2)dx
sin³ (x) cos(x) dx
(tan(x) + cot(x))²
dx
(x²+4x+13)3/2
cos5(x)sin¹(x) dx
Transcribed Image Text:P2. Find the following Integrals (lnx) ³/² dx a) Se 1 -1 b) S¹₁ -1 ☎ ū c) d) e) f) S g) X tan-¹(x) dx 1+x² sin³ (x/2)dx sin³ (x) cos(x) dx (tan(x) + cot(x))² dx (x²+4x+13)3/2 cos5(x)sin¹(x) dx
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