Guest

sir please help me in finding the integral of ∫ dx/(1+tanx).

sir please help me in finding the integral of 
    ∫  dx/(1+tanx).

Grade:12

1 Answers

Aditya Gupta
2081 Points
3 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

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free