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CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Q41 Marksabsolute_value_integrals

CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Question 4 (Integrals)

Which expression equals \(\int_{-1}^{1}(1-|x|)\,dx\)?

✅ Step-by-Step Solution

Final Answer: \(2\int_{-1}^0(1+x)dx\)
  1. The integrand is even and equals 1+x on [−1,0], so twice the integral on that interval gives the result.

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