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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) = _ n → ∞ x 1 + ( ^ -1 x)^n , then ∫_0^∞ f(x) dx =

Let

f(x) = \lim_{n \to \infty} \frac{\cos x}{1 + (\tan^{-1} x)^n}

, then

\int_0^\infty f(x) dx =

Options

A $\tan(\sin 1)$
B $\sin(\tan 1)$
C0
D $\sin \left(\frac{\tan 1}{2}\right)$

Correct answer

B. $\sin(\tan 1)$

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