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Integration - Standard Integrals, Basic Rules

Maths Higher · Grade 12 · Week 19 · 25 questions

Integration is a core Grade 12 mathematics chapter carrying significant board weight, covering Standard Integrals and Basic Rules. For JEE, speed on these standard problem types is critical — build fluency through timed practice.

What you'll practise

  • Prove Standard Integrals
  • State and apply Basic Rules
  • Solve CBSE board-pattern problems from integration including NCERT exemplar-level questions
All 25 questions in this Integration - Standard Integrals, Basic Rules quiz

Grade 12 Maths HigherIntegration - Standard Integrals, Basic Rules: 25 practice questions with instant scoring and explanations.

  1. Integration is the reverse of:
  2. The indefinite integral ∫f(x)dx represents:
  3. Using the standard identity, the value of ∫x^n dx is:
  4. Using the standard identity, the value of ∫1/x dx is:
  5. Using the standard identity, the value of ∫e^x dx is:
  6. Using the standard identity, the value of ∫sin(x)dx is:
  7. Using the standard identity, the value of ∫cos(x)dx is:
  8. Using the standard identity, the value of ∫sec²(x)dx is:
  9. Using the standard identity, the value of ∫csc²(x)dx is:
  10. ∫sec(x)tan(x)dx =
  11. Using the standard identity, the value of ∫1/(1+x²)dx is:
  12. Using the standard identity, the value of ∫1/√(1-x²)dx is:
  13. Using the standard identity, the value of ∫a^x dx is:
  14. ∫(f(x) + g(x))dx =
  15. ∫k·f(x)dx = (k is constant)
  16. Using the standard identity, the value of ∫0 dx is:
  17. Using the standard identity, the value of ∫tan(x)dx is:
  18. Using the standard identity, the value of ∫cot(x)dx is:
  19. Using the standard identity, the value of ∫sec(x)dx is:
  20. Using the standard identity, the value of ∫csc(x)dx is:
  21. ∫1/√(a²-x²)dx =
  22. Using the standard identity, the value of ∫1/(a²+x²)dx is:
  23. ∫1/(x√(x²-a²))dx =
  24. The constant of integration C represents:
  25. ∫sec²x dx equals:
Question 1 of 250 correct so far

Integration is the reverse of: