$\int \frac{x}{x^2+x-12} d x$ is equal t

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Home Questions 7SC8TBR5TD

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

$\int \frac{x}{x^2+x-12} d x$ is equal to

Options:

$\frac{3}{7} \log |x-3|+\frac{4}{7} \log |x+4|+C$

$-\frac{3}{7} \log |x-3|+\frac{4}{7} \log |x+4|+C$

$\frac{4}{7} \log |x-3|+\frac{3}{7} \log |x+4|+C$

$\frac{4}{7} \log |x-3|-\frac{3}{7} \log |x+4|+C$

Correct Answer:

$\frac{3}{7} \log |x-3|+\frac{4}{7} \log |x+4|+C$

Explanation:

The correct answer is Option (1) → $\frac{3}{7} \log |x-3|+\frac{4}{7} \log |x+4|+C$