ATOQ
1. ∫(3x^2 + 2x – 1) dx =
A. 3x^3 + x^2 – x + C
B. x^3 + x^2 – x + C
C. x^3 + x^2 + x + C
D. 3x^3 + x^2 + x + C
2. ∫(2e^x – 5) dx =
A. 2e^x – 5x + C
B. 2e^x – 5 + C
C. e^2x – 5x + C
D. e^2x – 5 + C
3. ∫(4cos(x) + 3sin(x)) dx =
A. 4sin(x) – 3cos(x) + C
B. 4sin(x) + 3cos(x) + C
C. -4sin(x) – 3cos(x) + C
D. -4sin(x) + 3cos(x) + C
4. ∫(x^(-2)) dx =
A. -x + C
B. -1/x + C
C. 1/x + C
D. ln|x| + C
5. ∫(5x^3 + 2x^2 – 3x) dx =
A. x^4 + x^3 – (3/2)x^2 + C
B. x^4 + x^3 – (3/2)x + C
C. (5/4)x^4 + (2/3)x^3 – (3/2)x^2 + C
D. (5/4)x^4 + (2/3)x^3 – (3/2)x + C
6. ∫(2sin(2x)) dx =
A. -cos(2x) + C
B. sin(2x) + C
C. -sin(4x) + C
D. cos(4x) + C
7. ∫(e^(3x) + e^(2x)) dx =
A. (1/3)e^(3x) + (1/2)e^(2x) + C
B. 3e^(3x) + 2e^(2x) + C
C. (1/3)e^(3x) – (1/2)e^(2x) + C
D. e^(3x) + e^(2x) + C
8. ∫(4x^2 – 2x + 7) dx =
A. x^3 – x^2 + 7x + C
B. x^3 – x^2 + 7x^2 + C
C. x^3 – x^2 + 7x^3 + C
D. (4/3)x^3 – x^2 + 7x + C
9. ∫(sqrt(x) + 2/x) dx =
A. (2/3)x^(3/2) + 2ln|x| + C
B. (2/3)x^(3/2) + ln|x^2| + C
C. (2/3)x^(3/2) + 2/x + C
D. (2/5)x^(5/2) + ln|x| + C
10. ∫(2/(x^2 + 4)) dx =
A. arctan(x/2) + C
B. arctan(2/x) + C
C. arctan(x) + C
D. arctan(2x) + C
11. ∫(3sec^2(x)) dx =
A. 3tan(x) + C
B. 3sin(x) + C
C. 3cos(x) + C
D. 3cot(x) + C
12. ∫(3x^2 + 4x – 5)/(x^3 + 2x^2) dx =
A. ln|x| + 2ln|x+2| – 2ln|2| + C
B. ln|x| + ln|x+2| – ln|2| + C
C. ln|x| + 2ln|x+2| + 2ln|2| + C
D. ln|x| + ln|x+2| + ln|2| + C
13. ∫(4e^(3x) – 2cos(2x)) dx =
A. e^(3x) – sin(2x) + C
B. 4e^(3x) – 2sin(2x) + C
C. 4e^(3x) + 2sin(2x) + C
D. e^(3x) + 2sin(2x) + C
14. ∫(x^2 – 4)/(x^2 + 2x) dx =
A. x – 2ln|x| + C
B. x – 2ln|x+2| + C
C. x + 2ln|x| + C
D. x + 2ln|x+2| + C
15. ∫(x^2 + 1)/(x^3 + x^2) dx =
A. ln|x| – ln|x+1| + C
B. ln|x| + ln|x+1| + C
C. ln|x| – ln|x-1| + C
D. ln|x| + ln|x-1| + C
16. ∫(3cos(x) – 2sin(x))/cos(x) dx =
A. 3x – 2ln|sin(x)| + C
B. 3x + 2ln|cos(x)| + C
C. 3x – 2ln|cos(x)| + C
D. 3x + 2ln|sin(x)| + C
17. ∫(e^(2x) + 1)/(e^(x) + 2) dx =
A. 2e^(x) – x + C
B. e^(x) – x + C
C. 2e^(x) + x + C
D. e^(x) + x + C
18. ∫(2x^3 – 5x^2 + 4x – 7)/(x^2 – 3x + 2) dx =
A. x^2 – 2x
– 3ln|x-2| + C
B. x^2 – 2x + 3ln|x-2| + C
C. x^2 – 2x – 3ln|x-1| + C
D. x^2 – 2x + 3ln|x-1| + C
19. ∫(5e^x – 2sin(x)) dx =
A. 5e^x + 2cos(x) + C
B. 5e^x – 2cos(x) + C
C. 5e^x + 2sin(x) + C
D. 5e^x – 2cos(x) + C
20. ∫(1 – 2/x^2) dx =
A. x – 2ln|x| + C
B. x + 2ln|x| + C
C. x – 2/x + C
D. x + 2/x + C
Key