# TMA2/MTH102 – Elementary Mathematics II

TMA Quiz Questions
TMA: TMA2/MTH102
Matric Number:  SCORE=10.00
MTH102 – Elementary Mathematics II
Mr. Olorunnishola Toyin (Tolorunishola@noun.edu.ng )
1 Integrate

sec2wdwsec2wdw

with respect to w.

 tanx+c cosx+c sinx+c secx+c
2

d2dx(2x22x)d2dx(2×2−2x)
 2 4 3 4x
3

d2dx(x26x)d2dx(x2−6x)
 2x 6x 6 12x
4 Integrate by partial fraction

5x+23x2+x+45x+23×2+x+4
 196196 23ln(3x+4)+(x−1)+c23ln(3x+4)+(x−1)+c 13ln(3x+4)+(x−1)+c13ln(3x+4)+(x−1)+c 25ln(3x+4)+(x−2)+c25ln(3x+4)+(x−2)+c
5 Integrate with respect to x :

22(x33x2+2x5)dx∫−22(x3−3×2+2x−5)dx
 -36 35 40 41
6 Integrate completely with respect to x :

21(4x+6)dx∫12(4x+6)dx
 12 6 8 16
7 Find the integral of

secudu∫secudu
 cosu + c tanu + c 2secu + c sinu + c
8

d4dx(x44x3+3x25x)+3d4dx(x4−4×3+3×2−5x)+3
 24 42 20 22
9 Differentiate with respect to

x:f(x)=(ax3+bx)x:f(x)=(ax3+bx)
 3ax2+b3ax2+b ax2+bax2+b 3x2+13×2+1 3ax2+x3ax2+x
10 Differentiate with respect to

n:f(n)=(8n3+n2)n:f(n)=(8n3+n2)
 8n3−n8n3−n 24n2−12n24n2−12n 24n2−2n24n2−2n 8n2−n8n2−n
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