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AP EAMCET · Maths · Indefinite Integration

\(\int \frac{3 \sin x-5 \cos x}{7 \cos x+2 \sin x} d x=\)

  1. A \(-\frac{29}{53} x-\frac{31}{53} \log |7 \cos x+2 \sin x|+c\)
  2. B \(\frac{11}{51} x+\frac{41}{51} \log |7 \cos x+2 \sin x|+c\)
  3. C \(\frac{29}{53} x+\frac{31}{53} \log |3 \sin x-5 \cos x|+c\)
  4. D \(\frac{29}{51} x-\frac{41}{51} \log |7 \cos x+2 \sin x|+c\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(-\frac{29}{53} x-\frac{31}{53} \log |7 \cos x+2 \sin x|+c\)

Step-by-step Solution

Detailed explanation

No solution. Refer to answer key.