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Statement I: . Statement II: , if is an even function.

Mathematics20251 markMCQ
Statement I: $\int_{-2}^2 \frac{x^2}{1 + 2^x} \, dx = \frac{8}{3}$. Statement II: $\int_{-a}^a f(x) \, dx = 2 \int_0^a f(x) \, dx$, if $f(x)$ is an even function.
  • (a)Both the statements are true.
  • (b)Both the statements are false.
  • (c)Statement I is false, and statement II is true.
  • (d)Statement I is true, and statement II is false.

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Integrals

From ISC 2025 Practice Mathematics, question 33.