JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{x^2-2}{x^4+4} d x

is equal to

View answer and explanation

Correct option: C

\frac{1}{4} \log _e\left(\frac{x^2-2 x+2}{x^2+2 x+2}\right)+c

Option C is correct because the integral is solved by dividing by x² and completing the square, leading to a logarithmic form.

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