Step 1: Recognize that sec^2(x) is a standard integral that you can find in integral tables or calculus textbooks.
Step 2: Recall the derivative of tan(x). The derivative of tan(x) is sec^2(x).
Step 3: Since the integral of sec^2(x) gives you the function whose derivative is sec^2(x), we can conclude that the integral is tan(x).
Step 4: Don't forget to add the constant of integration, C, because we are finding an indefinite integral.
Integration of Trigonometric Functions – This concept involves finding the antiderivative of trigonometric functions, specifically recognizing that the integral of sec^2(x) is a standard result.
