Integral Calculus Question 390

Question: $ \int_{{}}^{{}}{\frac{3\cos x+3\sin x}{4\sin x+5\cos x}\ dx=} $

[EAMCET 1991]

Options:

A) $ \frac{27}{41}x-\frac{3}{41}\log (4\sin x+5\cos x) $

B) $ \frac{27}{41}x+\frac{3}{41}\log (4\sin x+5\cos x) $

C) $ \frac{27}{41}x-\frac{3}{41}\log (4\sin x-5\cos x) $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Do yourself.