Chapter 3: Integration

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Chapter 3       Anti-Derivatives

1)            The anti derivative of the function f(y) = secy tan y is

A)      sec y tan y

B)      sec²y

C)      secy + c

D)      tany

Answer:                 C

2)            The anti derivative of zero is

A)      1

B)      0

C)      x

D)      constant

Answer:                 D

4)            The anti derivative of the function

f(y) = tan²y cosec²y is

A)      tan²y + c

B)      tany + c

C)      cosec²y + c

D)      cosecy + c

Answer:                 B

Answer:                 D

7.         Integration by Substitution

28)          If the acceleration of a particle is given by z = 2t, then its velocity at any time t is:

A)      2t² + c

B)      3t² + c

C)      t² + c

D)      2

Answer:                 C

29)          If the velocity of a particle moving in a straight line is given by v = 3t² then the distance traveled by it in the first T seconds is

A)      3t² + c

B)      t³ + c

C)      3t² + c

D)      T³ + c

Answer:                 D