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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

The value of the definite integral ∫_0^ π/3 (1 + 3 x) dx equals

The value of the definite integral

\int_0^{\pi/3} \ln(1 + \sqrt{3} \tan x) dx

equals

Options

A $\frac{\pi}{3} \ln 2$
B $\frac{\pi}{3} \ln 3$
C $\frac{\pi^2}{6} \ln 2$
D $\frac{\pi}{2} \ln 2$

Correct answer

A. $\frac{\pi}{3} \ln 2$

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