The antiderivative of arctan is simply x + C, where C is a constant. This can also be written as: ∫tan(x)dx = x + C.
To find the antiderivative of anti-trigs, such as arctan, you can use the following formula: ∫tan(x)dx = x + C. This formula can also be applied to other anti-trig functions, such as arcsin and arccos.
Yes, there is a specific method for solving antiderivatives of anti-trigs. It involves using the inverse trigonometric identities and integration by substitution. This method is also known as the "reverse chain rule."
Yes, the antiderivative of anti-trigs can be simplified by using trigonometric identities and substitution. It is important to note that the constant C should always be included in the final answer.
One common mistake to avoid is forgetting to include the constant C in the final answer. Another mistake is not using the correct inverse trigonometric identity or forgetting to substitute the correct variable after integration by substitution. It is important to carefully follow the steps and double-check the final answer for accuracy.