imo class 12 indefinite integration

∫aˣ dx, where a > 0 and a ≠ 1, is equal to:

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∫aˣ dx, where a > 0 and a ≠ 1, is equal to:

  • A. aˣ + C
  • B. aˣ ln a + C
  • C. aˣ / ln a + C
  • D. aˣ / a + C

Answer: C) aˣ / ln a + C

Explanation: Since d/dx(aˣ) = aˣ ln a, the anti-derivative is aˣ / ln a + C.

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