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Area Under the Curves question

2025 · 24 Jan · Shift 2 · Q30
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  5. /2025 · 24 Jan · Shift 2 · Q30

Area Under the Curves question

2025 · 24 Jan · Shift 2 · Q30

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1
The area of the region enclosed by the curves y=ex,y=∣ex−1∣y=\mathrm{e}^x, y=\left|\mathrm{e}^x-1\right|y=ex,y=∣ex−1∣ and yyy-axis is :
  1. A
    1+log⁡e21+\log _{\mathrm{e}} 21+loge​2
  2. B
    log⁡e2\log _{\mathrm{e}} 2loge​2
  3. C
    1−log⁡e21-\log _{\mathrm{e}} 21−loge​2
  4. D
    2log⁡e2−12 \log _{\mathrm{e}} 2-12loge​2−1
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