CUET · MATHS · PYQ PAPER 2025
The value of \(\int_{-1}^1|x| d x\) is
- A 0
- B 1
- C \(\frac{1}{2}\)
- D 2
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
\(\int_{-1}^1|x| d x = 2\int_0^1 x d x\) \(= 2\left[\frac{x^2}{2}\right]_0^1\) \(= 2\left(\frac{1^2}{2} - \frac{0^2}{2}\right)\) \(= 2\left(\frac{1}{2}\right)\) \(= 1\)
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