Super Math Integration Test - 47+ MCQs: Math Integration Quiz: Explore Your Understanding with Integration Questions and Answers

1. Find the integral: ∫(cos(x) + sin(x))dx.

sin(x) - cos(x) + C

sin(x) + cos(x) + C

-sin(x) - cos(x) + C

-sin(x) + cos(x) + C

2. Evaluate the integral: ∫(3sec(x) - tan(x))dx.

3ln|sec(x) + tan(x)| + C

3ln|sec(x) - tan(x)| + C

-3ln|sec(x) + tan(x)| + C

-3ln|sec(x) - tan(x)| + C

3. Find the integral: ∫(4x^2 - 2x + 1)dx.

(4/3)x^3 - x^2 + x + C

(4/3)x^3 - x^2 - x + C

(4/3)x^3 - x^2 + C

(4/3)x^2 - x + x + C

4. Find the integral: ∫(5x^3 + 2x^2 - x)dx.

x^4 + (2/3)x^3 - (1/2)x^2 + C

x^4 + x^3 - (1/2)x^2 + C

(5/4)x^4 + x^3 - (1/3)x^2 + C

(5/4)x^4 + (2/3)x^3 - (1/2)x^2 + C

5. Evaluate the definite integral: ∫[0 to π/2] (2sin(x) + 3cos(x))dx.

6. Evaluate the integral: ∫(2x + 3)dx.

x^2 + 3x + C

x^2 + 2x + C

x^2 + 4x + C

2x^2 + 3x + C

7. Evaluate the definite integral: ∫[1 to 4] (x^2 + 2x)dx.

112

8. Evaluate the definite integral: ∫[0 to 1] (4x + 2)dx.

9. Evaluate the definite integral: ∫[1 to 3] (2x + 1)dx.

10. Evaluate the definite integral: ∫[1 to 3] (3x^2 + 2x)dx.

108

118

128

11. Find the integral: ∫(5cos(x) + 2sin(x))dx.

5sin(x) - 2cos(x) + C

5cos(x) + 2sin(x) + C

-5sin(x) - 2cos(x) + C

5sin(x) + 2cos(x) + C

12. Evaluate the definite integral: ∫[1 to 2] (4x^2 + 2x + 1)dx.

13. Find the value of: ∫(e^(2x) + 1/x) dx

(1/2)e^(2x) + ln|x| + C

e^(2x) + ln|x| + C

(1/2)e^(2x) - ln|x| + C

e^(2x) - ln|x| + C

14. Solve the integral: ∫(sin(x) + cos(x)) dx

sin(x) + sin(x) + C

cos(x) + cos(x) + C

sin(x) - cos(x) + C

cos(x) - sin(x) + C

15. Find the integral: ∫(3sin(x) - 4cos(x))dx.

3cos(x) - 4sin(x) + C

3sin(x) + 4cos(x) + C

-3cos(x) - 4sin(x) + C

-3sin(x) + 4cos(x) + C

16. Find the integral: ∫(e^(3x) - 3/x)dx.

(1/3)e^(3x) - 3ln|x| + C

(1/3)e^(3x) + 3ln(x) + C

(1/9)e^(3x) - 3ln|x^3| + C

(1/9)e^(3x) + 3ln(x^3) + C

17. Find the integral: ∫(4x^2 + 2x - 1)dx.

(4/3)x^3 + x^2 - x + C

(4/3)x^3 + x^2 + x + C

(4/3)x^3 + x^2 + C

(4/3)x^2 + x - C

18. Find the integral: ∫(e^x + 3/x)dx.

e^x + 3ln|x| + C

e^x + 3ln(x) + C

e^x + ln|x^3| + C

e^x + ln(x^3) + C

19. Evaluate the integral: ∫(2x^2 + 3x + 1) dx

(2/3)x^3 + (3/2)x^2 + x + C

(1/2)x^3 + (3/2)x^2 + x + C

(2/3)x^3 + (3/2)x^2 + C

(1/2)x^3 + (3/2)x^2 + C

20. Find the integral: ∫(4x^3 + 2x^2 - 5x)dx.

(2/5)x^5 + (2/3)x^3 - (5/2)x^2 + C

(2/5)x^5 + (2/3)x^3 - 5x^2 + C

(2/3)x^5 + (2/3)x^3 - (5/2)x^2 + C

(2/3)x^5 + (2/3)x^3 - 5x^2 + C

21. Evaluate the definite integral: ∫[0 to π] (2sin(x) - cos(x))dx.

2√2

2/√2

22. Find the integral: ∫(5sin(x) - 2cos(x))dx.

-5cos(x) - 2sin(x) + C

5cos(x) - 2sin(x) + C

-5cos(x) + 2sin(x) + C

5cos(x) + 2sin(x) + C

23. Evaluate the integral: ∫(3x^2 + 2x - 1)dx.

x^3 + x^2 - x + C

x^3 + x^2 + x + C

x^3 + x^2 + C

x^2 + x - C

24. Evaluate the integral: ∫(5sec^2(x) - 2cosec(x))dx.

5tan(x) + 2ln|sin(x)| + C

-5tan(x) - 2ln|cos(x)| + C

5tan(x) - 2ln|sin(x)| + C

-5tan(x) + 2ln|cos(x)| + C

25. Evaluate the definite integral: ∫[1 to 4] (3x + 1)dx.

26. Evaluate the definite integral: ∫[1 to 3] (4x + 2)dx.

27. Evaluate the integral: ∫(3sec^2(x) - cosec(x))dx.

3tan(x) - ln|sin(x)| + C

-3tan(x) + ln|cos(x)| + C

3tan(x) + ln|sin(x)| + C

-3tan(x) - ln|cos(x)| + C

28. Evaluate the definite integral: ∫[0 to π/2] (2sin(2x) + 3cos(3x))dx.

29. Find the integral: ∫(e^x - 2/x)dx.

e^x - 2ln|x| + C

e^x - 2ln(x) + C

e^x - ln|x^2| + C

e^x - ln(x^2) + C

30. Evaluate the definite integral: ∫[1 to 3] (4x^2 + 2x)dx.

104

31. Find the integral: ∫(5x^3 + 2x^2 - 3x)dx.

(5/4)x^4 + (2/3)x^3 - (3/2)x^2 + C

(5/4)x^4 + (2/3)x^3 - 3x^2 + C

(5/3)x^4 + (2/3)x^3 - (3/2)x^2 + C

(5/3)x^4 + (2/3)x^3 - 3x^2 + C

32. Find the integral: ∫(4sin(x) + 2cos(x))dx.

-4cos(x) + 2sin(x) + C

4cos(x) + 2sin(x) + C

-4cos(x) - 2sin(x) + C

4cos(x) - 2sin(x) + C

33. Evaluate the definite integral: ∫[0 to π] (sin(x) + 2cos(x))dx.

2√2

2/√2

34. Evaluate the integral: ∫(2x^2 + 3x + 1)dx.

(2/3)x^3 + (3/2)x^2 + x + C

(2/3)x^3 + (3/2)x^2 + C

(2/3)x^4 + (3/2)x^3 + x^2 + C

(2/3)x^4 + (3/2)x^3 + C

35. Find the integral: ∫(2e^x - 1/x)dx.

2e^x - ln|x| + C

2e^x - ln(x) + C

2e^x - ln|x^2| + C

2e^x - ln(x^2) + C

36. Find the integral: ∫(e^x + 2/x)dx.

e^x + 2ln|x| + C

e^x + 2ln(x) + C

e^x + ln|x^2| + C

e^x + ln(x^2) + C

37. Evaluate the definite integral: ∫[0 to 2] (2x + 4)dx.

38. Find the integral: ∫(2sin(x) - 3cos(x))dx.

-2cos(x) - 3sin(x) + C

2cos(x) + 3sin(x) + C

-2cos(x) + 3sin(x) + C

2cos(x) - 3sin(x) + C

39. Find the integral: ∫(3x^2 - 2x + 1)dx.

x^3 - x^2 + x + C

x^3 - x^2 - x + C

x^3 - x^2 + C

3x^3 - x^2 + x + C

40. Find the integral: ∫(sin(2x) + 2cos(3x))dx.

(1/2)cos(2x) + (2/3)sin(3x) + C

(1/2)cos(2x) + (2/3)cos(3x) + C

(1/2)sin(2x) + (2/3)cos(3x) + C

(1/2)sin(2x) + (2/3)sin(3x) + C

Math Integration MCQ Test 1