CUET · MATHS · PYQ PAPER 2023
The value of the integral \(\int_{-1}^1|x| d x\) is :
- A 2
- B \(\frac{1}{2}\)
- C 1
- D \(0\)
Answer & Solution
Correct Answer
(C) 1
Step-by-step Solution
Detailed explanation
\(\int_{-1}^1|x| d x = 2\int_{0}^1 x d x\) \(= 2 \left[ \frac{x^2}{2} \right]_{0}^1\) \(= 2 \left( \frac{1}{2} - 0 \right)\) \(= 1\)
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