Final answer:
The method of substitution is appropriate to evaluate an integral when certain conditions are met. However, without enough information given, we cannot determine if substitution is appropriate in this case.
Step-by-step explanation:
The method of substitution is appropriate to evaluate an integral when:
The integral involves a composite function, meaning a function inside another function.
The differential of the inner function is also present in the integral.
By substituting the inner function with a new variable, the integral becomes simpler.
In this case, we don't have enough information to determine if the method of substitution is appropriate, so the answer is (D) Not enough information given to determine the answer.
The student's question pertains to determining whether the method of substitution is appropriate to evaluate an integral. Without the specific integral provided, it is impossible to give a definitive answer.
However, substitution is a common method used in calculus to simplify an integral, typically appropriate when dealing with composite functions where one can clearly delineate a function and its derivative within the integral. Determining the appropriateness of substitution requires analyzing the integral's structure.