# TMA3/MTH102 – Elementary Mathematics II

TMA Quiz Questions
TMA: TMA3/MTH102
Matric Number:  SCORE=9.00
MTH102 – Elementary Mathematics II
Mr. Olorunnishola Toyin (Tolorunishola@noun.edu.ng )
1 Find

e13dx∫e13dx
 3ex2+c3ex2+c ex+cex+c 3ex3+c3ex3+c 13ex+c13ex+c
2 Find

 e2+ce2+c 12e2a+c12e2a+c e2a+ce2a+c 2ae+c
3 Find

xcosax2dx∫xcosax2dx

with respect to x

 cos3x+ccos3x+c sin2x+csin2x+c sec2x+1sec2x+1 12asinax2+c12asinax2+c
4 Find the

tan3xsec3xdx∫tan3xsec3xdx
 tan2x+1tan2x+1 cot2x+1cot2x+1 sec2x+1sec2x+1 sec2xsec2x
5 Find

sec3xtanxdx∫sec3xtanxdx
 sin2x+csin2x+c cos2x+ccos2x+c sec3x3+csec3x3+c cos3x+ccos3x+c
6 Differentiate the following

(x7)(x−7)
 x2x2 2 x 1
7 Find f(x) =

x13x13
 10x1210×12 x26x26 26x2726×27 13x1213×12
8 Find f(x) =

x3nx3n
 3nx3n3nx3n 3nx(3n−1)3nx(3n−1) 3nx 3nx(3n−3)3nx(3n−3)
9 Differentiate the following with respect to x : (3x + 4)
 3 3x 4 x
10 Find f(x) =

(7x45x3)(7×4−5×3)
 7x4−5x37×4−5×3 2x3−15x22×3−15×2 28x2−15x228×2−15×2 28x3−15x228×3−15×2
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