Class 12 Math: Integrals Important Exam Questions
Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 12 Integrals to help you test your mastery.
Exam-Pattern Questions and Answers
Question 1 (HARD)
This is a descriptive problem. Work out all steps on paper before checking the solution.
Solution Explanation & Steps: Given equations are y = 3x and y = 24 x- Squaring both side, we get x² + y² = 4 Intersection point of x² + y² = 4 and y = 3x x² + 3x² = 4 ⇒ x = ± 1 Intersection point in I Quadrant is (1, √3)
Question 2 (EASY)
- Option 1: 1 ೌ-1ೣ
- Option 2: 2 etan-1x
- Option 3: 3etan-1x
- Option 4: etan-1x
Solution Explanation & Steps: (d) etan-1x
Question 3 (HARD)
This is a descriptive problem. Work out all steps on paper before checking the solution.
Solution Explanation & Steps: Required Area=∫ (x2+ 1) 1 xd+∫ (x+1) 2 1xd = 23
Grading Step-Marking Guidelines
Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.