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  • 15-02-2024
  • Mathematics
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Clear my choice
Question 10:
If \(f\) is a continuous function that satisfies \(\int_0^{x^3} f(t)dt + \int_0^x f(t^3)dt = 2x^4\) for all \(x \geq 0\), then \(f\) must satisfy which of the following?

A) \(\int_0^x f(t)dt = 2x^4\)
B) \(\int_0^x f(t^3)dt = 2x^4\)
C) \(\int_0^{x^3} f(t)dt = 2x^4\)
D) \(\int_0^{x^3} f(t)dt + \int_0^x f(t^3)dt = 4x^4\)

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