Need a guide how to solve Trapezoidal rule with integrals

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I need some steps and the formula that i need to follow in order to solve trapezoidal rule exercises. I have the solution but i don't know how things works.

Exercise: Use the trapezoidal rule (T) to approximate the integral $\int _0^1\:\frac{1}{\sqrt{1+x^4}}dx$ with 4 subintervals.

Solution:

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