sir please help me in finding the integral of∫dx/(1+tanx).
Pushkar Kumar , 6 Years ago
Grade 12
Differential Calculus> sir please help me in finding the integra...
1 Answers
Aditya Gupta
Last Activity: 6 Years ago
write it as cosx/(cosx+sinx)= ½*[1+(cosx-sinx)/(cosx+sinx)]
now take ½ out and then you can easily integrate 1.
to integrate (cosx-sinx)/(cosx+sinx), simply put cosx+sinx=y so that dy= (cosx-sinx)dx
so final answer is
½*[x+ln|cosx+sinx|]+C
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