$\int_{-1}^1 \log \left(\frac{2-x}{2+x}\right) d x=$

$\int_{-1}^1 \log \left(\frac{2-x}{2+x}\right) d x=$
  1. 1
  2. -1
  3. 0
  4. 2

Solution

$\begin{aligned} & \int_{-1}^1 \log \left(\frac{2-x}{2+x}\right) \mathrm{d} x=0 \\ & \because \log \left(\frac{2-x}{2+x}\right) \text { is an odd function. }\end{aligned}$

Asked in: MHT CET 2022 (08 Aug Shift 1)

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