4) Use integration by parts to find f x² In 5x 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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4) Use integration by parts to find ſ x² ln 5x dx
5) Show that (In x)? dx = e –
- 2
6) Find f
dx
x²+ 5x+6
4x
7) Find S
dx
(x2 – 4)(x-3)
8) Find the nth term of the following sequences
1
1
1
1
a)
1
4
8
16
32
2
4
16
b)
5
25
125
625
c) 8 , -16 , 32 , -64 , 128 , -256
Transcribed Image Text:4) Use integration by parts to find ſ x² ln 5x dx 5) Show that (In x)? dx = e – - 2 6) Find f dx x²+ 5x+6 4x 7) Find S dx (x2 – 4)(x-3) 8) Find the nth term of the following sequences 1 1 1 1 a) 1 4 8 16 32 2 4 16 b) 5 25 125 625 c) 8 , -16 , 32 , -64 , 128 , -256
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