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sir please help in finding the integral of
∫ (3sinx+2cosx)dx/(3cosx+2sinx).

Pushkar Kumar , 6 Years ago
Grade 12
anser 1 Answers
Aditya Gupta

Last Activity: 6 Years ago

write the numerator as 12/13*(2sinx+3cosx) – 5/13*(2cosx – 3sinx)
also note that if you substitute 3cosx+2sinx=y then dy=(2cosx – 3sinx)dx
final answer:
=12x/13 – 5/13*ln|2sinx+3cosx|+C
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