Determine the most appropriate method or integral formula for evaluating the given integral. Next, evaluate the integral.
I. Integration by parts

A)I. Integration by parts;
E)not integrable by any of the techniques we have studied

Question

Determine the most appropriate method or integral formula for evaluating the given integral. Next, evaluate the integral. ​
I. Integration by parts
  ​ 
A)I. Integration by parts; 
E)not integrable by any of the techniques we have studied

Quizplus · Accepted Answer

The given integral involves a product of functions, where one function is simple and the other is not easily integrable. Integration by parts is the appropriate method to evaluate this integral. Applying the formula for integration by parts, we get:
∫xln(x)dx = (1/2)x^2 ln(x) - (1/4)x^2 + C, where C is the constant of integration. Therefore, the answer is (A) 11eb0d3b_98a6_c5d6_9790_63f1e7f6899a_TB1243_11.

Determine the Most Appropriate Method or Integral Formula for Evaluating