The formula for evaluating the integral of a sine function is ∫sin(x)dx = -cos(x) + C.
To solve an integral of a sine function using u-substitution, you first need to identify a part of the integral that can be represented as u. Then, you substitute u for that part and rewrite the integral in terms of u. After integrating, you can then substitute back for the original variable.
Yes, the integral of a sine function can be evaluated using integration by parts. This method is useful when the integral involves a product of two functions, such as sin(x)cos(x).
No, the integral of a sine function is not always equal to zero. It depends on the limits of integration and the value of the constant C. If the integral is evaluated from 0 to 2π, the result will be 0. However, if the limits are different or if a non-zero constant is added, the result will be different.
Yes, the integral of a sine function can be evaluated using trigonometric identities. For example, you can use the identity sin^2(x) + cos^2(x) = 1 to simplify the integral and make it easier to solve.