CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Q335 Marksarea_under_lines
CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Question 33 (Applications Of Integrals)
Use integration to find the area bounded by y=5x+4, y=0, x=−1 and x=1.
✅ Step-by-Step Solution
Final Answer: 41/5 square units.
- The line crosses the x-axis at −4/5.
- Integrate −(5x+4) from −1 to −4/5 and 5x+4 from −4/5 to 1.
- The two pieces give 1/10 and 81/10, for a total of 41/5.
📋 CBSE Stepwise Marking Scheme
- [1 mark] The line crosses the x-axis at −4/5.
- [3 marks] Integrate −(5x+4) from −1 to −4/5 and 5x+4 from −4/5 to 1.
- [1 mark] The two pieces give 1/10 and 81/10, for a total of 41/5.
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