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Question: Answered & Verified by Expert
$\int \frac{3 \sin x-5 \cos x}{7 \cos x+2 \sin x} d x=$
MathematicsIndefinite IntegrationAP EAMCETAP EAMCET 2017 (24 Apr Shift 1)
Options:
  • A $-\frac{29}{53} x-\frac{31}{53} \log |7 \cos x+2 \sin x|+c$
  • B $\frac{11}{51} x+\frac{41}{51} \log |7 \cos x+2 \sin x|+c$
  • C $\frac{29}{53} x+\frac{31}{53} \log |3 \sin x-5 \cos x|+c$
  • D $\frac{29}{51} x-\frac{41}{51} \log |7 \cos x+2 \sin x|+c$
Solution:
1432 Upvotes Verified Answer
The correct answer is: $-\frac{29}{53} x-\frac{31}{53} \log |7 \cos x+2 \sin x|+c$
No solution. Refer to answer key.

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