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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

I = ∫ ( ( x - 1)/(( x)^2 + 1) )^2 dx is equal to:

I = \int \left( \frac{\ln x - 1}{(\ln x)^2 + 1} \right)^2 dx

is equal to:

Options

A $\frac{x}{x^2 + 1} + C$
B $\frac{\ln x}{(\ln x)^2 + 1} + C$
C $\frac{x}{1+(\ln x)^2} + C$
D $e^x \left( \frac{x}{x^2 + 1} \right) + C$

Correct answer

C. $\frac{x}{1+(\ln x)^2} + C$

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