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Question

Integrate
by using a suitable substitution:-

(a) 3(2x)2dx

(b) sin(8z5)dz


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Solution

a) 3(2x)2dx
2x=t
dx=dt
3dtt2
3dtt2
3t+C
3(2x)+C(Ans)

b) sin(8z5)dz
8z5=t
8dz=dt
dz=18dt
= 18sintdt
= 18cost+C=18cos(8z5)+C

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