Скачать или смотреть Integral of the Day 3.7.26 | How to Integrate 1/(1 + √x + √(x+1)) | Math with Professor V

Learn how to integrate 1/(1 + √x + √(x+1)) step-by-step using trig a variety of integration techniques. In this Integral of the Day, I walk you through a clever algebraic trick that simplifies the integrand and leads to a satisfying final answer.

This problem was shared by Dr. Alan Bromborsky and features a beautiful structure that allows the result to also be written using inverse hyperbolic functions. In this lesson you’ll see the full solution using traditional calculus techniques typically taught in a standard Calculus II course.

If you’re studying integrals, trig substitution, or preparing for calculus exams, this is a great example to add to your toolbox.

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Professor V

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