Evaluate (2+ )(3+4 ) d .
Mathematics · JEE Main · NTA Exams — Integral Calculus
Evaluate \(\int \frac{\cos \theta}{(2+\sin \theta)(3+4 \sin \theta)} d \theta\).
- \(-\frac{1}{5} \log |2+\sin \theta|-\frac{1}{5} \log |3+4 \sin \theta|+C\)
- \(\frac{1}{5} \log |2+\sin \theta|+\frac{1}{5} \log |3+4 \sin \theta|+c\)
- \(-\frac{1}{5} \log |2+\sin \theta|+\frac{1}{5} \log |3+4 \sin \theta|+C\)
- None of these
Answer
(C) - 1 5 |2+ |+ 1 5 |3+4 |+C
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