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Where a function defined as an integral increases or decreases

This type of question, asked 2 times: 14 May 2024 S1, 17 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    14 May 2024 S1

    124
    Let f(x)=∫x2−3x+2x4+1 dxf(x)=\int\dfrac{x^2-3x+2}{x^4+1}\,dx, then function decreases in the interval.

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  2. Question 2

    17 Apr 2026 S1

    76
    The function f(x)=∫x+3x2−9x+20 dxf(x) = \int\dfrac{x + 3}{x^2 - 9x + 20}\,dx, then f(x)f(x) is

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