Worksheet: Antiderivatives of Functions
In this worksheet, we will practice finding the antiderivative of a given function.
Q1:
Determine the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q3:
If , determine .
- A
- B
- C
- D
- E
Q4:
Find the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q5:
Determine the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q6:
Determine the antiderivative of the function where .
- A
- B
- C
- D
- E
Q7:
Determine the most general antiderivative of the function , given that .
- A
- B
- C
- D
- E
Q8:
Determine the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q9:
Find the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q10:
Find the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q11:
Find the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q12:
Determine the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q13:
Determine the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q14:
Find the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q15:
Find, if possible, an antiderivative of that satisfies the conditions and .
- A
- BNo such antiderivative exists.
Q16:
What is the antiderivative of that satisfies ?
- A
- B
- C
- D
- E
Q17:
Determine the most general antiderivative of the function if and .
- A ,
- B ,
- C ,
- D ,
- E ,
Q18:
By considering the product rule, find a function so that .
- A
- B
- C
- D
- E
Q19:
Find the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q20:
Determine the most general antiderivative of the function .
- A
- B
- C
- D
- E
Q21:
Determine the family of functions for which .
- A
- B
- C
- D
- E
Q22:
If the rate of change in the area of a metallic plate with respect to time due to heating is given by the relation where the area is in square metres, and the time is in minutes, given that when , find, correct to the nearest two decimal places, the area of the plate just before heating.
Q23:
The second derivative of a function is and the equation of the tangent to its graph at is . Find the equation of the curve.
- A
- B
- C
- D
- E
Q24:
Suppose that and when . Find in terms of .
- A
- B
- C
- D
- E
Q25:
Find the function of the curve whose first derivative is and the function equals 7 when equals .
- A
- B
- C
- D