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Question

Find sec(x) tan(x) dx


  1. ln|tan(x)|+C

  2.  tan(x)+C

  3.  sec(x)+C

  4. sec2(x)+c


Solution

The correct option is C

 sec(x)+C


We want to find the integral of sec(x).tan(x). By integrating a function, we are trying to find/guess a function whose derivative will give the function we are integrating. In this case, we want to find a function whose derivative is sec(x).tan(x). We know that the derivative of sec(x) is sec(x).tan(x). So the integral of sec(x).tan(x) will be sec(x).

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