✓ 5 MARKS
Long Answer
🔥 APPEARED IN 3 BOARD SETS
(a) Find : $\int \frac{x^2 + 1}{(x - 1)^2 (x + 3)}\, dx$ \
OR \
(b) Evaluate : $\int_{0}^{\pi/2} \frac{x}{\sin x + \cos x}\, dx$
01 // VERIFIED BOARD OCCURRENCES
| Year | Paper Code | Set | Position |
|---|---|---|---|
| CBSE 2025 | Series 65-6 | Set 1 | Question 32 |
| CBSE 2025 | Series 65-6 | Set 2 | Question 34 |
| CBSE 2025 | Series 65-6 | Set 3 | Question 34 |
02 // OFFICIAL CBSE MARKING SCHEME BREAKDOWN
- Step 1: Stating the fundamental formula / law statement (+1 Mark)
- Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
- Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)