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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

Let f(x) = x x ; x ∈ [ (3π)/(2), 2 π ] and g(x) be its inverse. If...

Let f(x) = x \cos x ; x \in \left[ \frac{3\pi}{2},2\pi \right] andg(x)beitsinverse.Ifbe its inverse. If\int_0^{2\pi} g(x) dx =\alpha \pi^2 + βπ+γ,whereα,βandγ∈\beta \pi + \gamma, where \alpha, \beta and \gamma \inR,thenfindthevalueof, then find the value of2(\alpha + \beta + \gamma).

Correct answer

3

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