Evaluate the integral ∫₀¹⁰⁰π [(arccot x) + (arctan x)] dx, which equals 100π + cot p. Determine the value of p, where [.] represents the greatest integer function.

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100. The integral ∫₀¹⁰⁰π [(arccot x) + (arctan x)] dx evaluates to 100π + cot p, and since the integral of arccot x and arctan x over this interval results in a value equal to 100π, p must be 100.

Evaluate the integral ∫₀¹⁰⁰π [(arccot x) + (arctan x)] dx, which equals 100π + cot p. Determine the value of p, where [.] represents the greatest integer function.

Solution

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