Integration - Basic Rules

Grade 12 Maths — Integration - Basic Rules: 25 practice questions with instant scoring and explanations.

1. The antiderivative of xⁿ (n ≠ −1) is:
2. ∫ 1/x dx equals:
3. ∫ eˣ dx equals:
4. ∫ aˣ dx (a > 0, a ≠ 1) equals:
5. ∫ sin(x) dx equals:
6. ∫ cos(x) dx equals:
7. ∫ sec²(x) dx equals:
8. ∫ csc²(x) dx equals:
9. ∫ sec(x)tan(x) dx equals:
10. ∫ csc(x)cot(x) dx equals:
11. ∫ 1/√(1−x²) dx equals:
12. ∫ 1/(1+x²) dx equals:
13. ∫ (f(x) + g(x)) dx equals:
14. ∫ k·f(x) dx (k constant) equals:
15. ∫ (3x² − 2x + 5) dx equals:
16. ∫ √x dx equals:
17. ∫ 1/√x dx equals:
18. ∫ (x + 1/x) dx equals:
19. ∫ (eˣ + 1) dx equals:
20. ∫ (sin(x) − cos(x)) dx equals:
21. ∫ (tan²(x)) dx is equal to:
22. The integral ∫ 0 dx equals:
23. ∫ sinh(x) dx equals:
24. Question?
25. Question?