How to transform the limits of integration: definite integral of 3x/sqrt(x^2+1) on [0,2].

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  • Опубликовано: 17 ноя 2024

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  • @Ennar
    @Ennar 2 месяца назад

    You can also take u^2 = x^2 + 1, then udu = xdx, so you get 3udu/sqrt(u^2) and if you change boundaries appropriately 0 -> 1, 2 -> sqrt 5, the integrand simplifies to 3du, so the solution is 3(sqrt 5 - 1).