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

1. Evaluate the definite integral: ∫[0 to 1] (2x^2 + 3x)dx.

3.5

4.5

2. 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

3. 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

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

108

118

128

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

2√2

2/√2

6. 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

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

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

x^2 + 3x + C

x^2 + 2x + C

x^2 + 4x + C

2x^2 + 3x + C

9. 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

10. 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

11. 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

12. 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

13. 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

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

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

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

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

(1/4)e^(2x) + 2/x + C

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

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

17. 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

18. 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

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

104

20. Evaluate the definite integral: ∫[1 to 5] (2x + 3)dx.

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

112

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

2√2

2/√2

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

24. 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

25. 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

26. 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

27. 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

28. 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

29. Find the integral: ∫(5cos(2x) + 2sin(3x))dx.

(5/2)sin(2x) - (2/3)cos(3x) + C

(5/2)sin(2x) + (2/3)sin(3x) + C

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

(5/2)cos(2x) + (2/3)sin(3x) + C

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

Math Integration MCQ Test 2