CUET · MATHS · PYQ PAPER 2025
The area of the region bounded by the curve y = x + 1, x-axis and the lines x = 2 and x = 3 is
- A \(\frac{9}{2}\) sq. units
- B \(\frac{7}{2}\) sq. units
- C \(\frac{13}{2}\)sq. units
- D \(\frac{5}{2}\) sq. units
Answer & Solution
Correct Answer
(B) \(\frac{7}{2}\) sq. units
Step-by-step Solution
Detailed explanation
\(A = \int_{2}^{3} (x + 1) \, dx\) \(A = \left[ \frac{x^2}{2} + x \right]_{2}^{3}\) \(A = \left( \frac{3^2}{2} + 3 \right) - \left( \frac{2^2}{2} + 2 \right)\) \(A = \frac{15}{2} - 4 = \frac{7}{2}\) sq. units
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