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Camille Flynn

Camille Flynn

Answered question

2022-05-28

Compute the integral
1 1 d d x ( arctan ( 1 x ) ) d x

Answer & Explanation

Erick Blake

Erick Blake

Beginner2022-05-29Added 10 answers

Continuing from where where you left:
1 1 d d x ( arctan ( 1 x ) ) d x = lim ϵ 0 1 ϵ d d x ( arctan ( 1 x ) ) d x + lim δ 0 + δ 1 d d x ( arctan ( 1 x ) ) d x
= π 2 + lim ϵ 0 arctan ( 1 ϵ ) lim δ 0 + arctan ( 1 δ ) = π 2 π 2 π 2 = π 2 .

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