CUET · MATHS · PYQ PAPER 2023
\(\int_1^4|x-2| d x\) is equal to
- A 5
- B \(\frac{7}{2}\)
- C \(\frac{3}{2}\)
- D \(\frac{5}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{5}{2}\)
Step-by-step Solution
Detailed explanation
\(\int_1^4|x-2| d x = \int_1^2(2-x) d x + \int_2^4(x-2) d x\) \(= \left[2x - \frac{x^2}{2}\right]_1^2 + \left[\frac{x^2}{2} - 2x\right]_2^4\)…
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