1. Evaluate in terms of gamma function: (1) jx¹² (4-x)"¹² dx. (11) ¸y¹³ √b² - y²dy, (ii) ſe ªdt, (nv) jx'e-dx, (v) [e-'y'dy, (v) [e-* dx, (vii) x²e¹dx, 0 (vii) fe ³x³dx, (ix) [√xe * dx, (x) - h x3 o √1-x (x1) [√xIn(1/x dx, (xi) | (1-1) dx. - dx,

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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1. Evaluate in terms of gamma function:
(0) x (4-x) dx, (n) [²√b² - y²dy, (m) je* di.
0
(n) [x³e¹dx, (v) [ey'dy, (v) je dx, (vii) [x¹e¹dx,
(viii) ſe ³x³dx, (ix) [√xe ** dx, (x)] de
x³
=dx,
0 √1-x³
8
(x1) 1/11/de, (xiv) [(1-1) dec.
-dx,
√xIn(1/x)
-
Transcribed Image Text:1. Evaluate in terms of gamma function: (0) x (4-x) dx, (n) [²√b² - y²dy, (m) je* di. 0 (n) [x³e¹dx, (v) [ey'dy, (v) je dx, (vii) [x¹e¹dx, (viii) ſe ³x³dx, (ix) [√xe ** dx, (x)] de x³ =dx, 0 √1-x³ 8 (x1) 1/11/de, (xiv) [(1-1) dec. -dx, √xIn(1/x) -
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