CUET · MATHS · PYQ PAPER 2023
The area of region bounded by the curve \(y = x + 1\) and the lines x = 2 and x = 3 is:
- A \(\frac{7}{2}\) sq. units
- B \(\frac{11}{2}\) sq. units
- C \(\frac{9}{2}\) sq. units
- D \(\frac{13}{2}\) sq. units
Answer & Solution
Correct Answer
(A) \(\frac{7}{2}\) sq. units
Step-by-step Solution
Detailed explanation
\(A = \int_{2}^{3} (x+1) \,dx\) \(A = \left[ \frac{x^2}{2} + x \right]_{2}^{3}\) \(A = \left( \frac{3^2}{2} + 3 \right) - \left( \frac{2^2}{2} + 2 \right)\) \(A = \left( \frac{9}{2} + \frac{6}{2} \right) - \left( \frac{4}{2} + \frac{4}{2} \right)\)…
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