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Integral of cos^3 x/(sin^2 x + sin x)

The same question, asked 2 times: 11 May 2023 S1, 16 Apr 2026 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    11 May 2023 S1

    145
    The value of ∫cos⁡3xsin⁡2x+sin⁡x dx\int\frac{\cos^3 x}{\sin^2 x + \sin x}\,dx is

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  2. Question 2

    16 Apr 2026 S1

    78
    ∫cos⁡3xsin⁡2x+sin⁡x dx=\displaystyle\int\dfrac{\cos^3 x}{\sin^2 x + \sin x}\,dx =

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