Evaluate: ?dx/((cosx-sinx) ) Sir, you have solved this question and your answer is: 1/?2 (tan(?/4+x)+sec(?/4+x))+C But, please note that the answer given in the book to this question is: (-1)/?2 log|tan (?/8+x/2)|+C So, please determine whether the answer given in the book is correct or incorrect.

Asked by Manoj | 17th Mar, 2013, 09:00: AM

Expert Answer:

Please note that our answer was 1/?2 ln[(tan(?/4+x)+sec(?/4+x))]+C, where ln defines natural logarithmic function. 
It seems like there is a small error in the answer in the book. It should be  (-1)/?2 log|tan (?/8-x/2)|+C
And you can solve this to reach the same answer as ours. 

Answered by  | 17th Mar, 2013, 05:27: PM

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