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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 a function f: R arrow R be defined as f(x) = x + x . The value...

Let a function

f: R \rightarrow R

be defined as

f(x) = x + \sin x

. The value of

\int_0^{2\pi} f^{-1}(x) dx

will be :

Options

A $2\pi^2$
B $2\pi^2 - 2$
C $2\pi^2 + 2$
D $\pi^2$

Correct answer

A. $2\pi^2$

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