Evaluating the integral with exponential and u sub

The video tutorial explains the process of solving an integral using the substitution method. It begins by setting a substitution variable, adjusting the differential, and then integrating the expression. Finally, the solution is obtained by back-substituting the original variable.

What substitution is made for u in the expression?

• u = 3x + 1

• u = x + 3

• u = 3x - 1

• u = x - 3

How is the differential du expressed in terms of dx?

• du = 3dx

• du = dx/2

• du = 2dx

• du = dx/3

What factor is introduced to adjust the differential?

• 1/4

• 1/2

• 1/3

• 1/5

What is the result of integrating e^u?

• 1/u + C

• ln(u) + C

• e^u + C

• u^2 + C

What is the final expression after substituting back the original variable?

• 1/5 e^(3x + 1) + C

• 1/4 e^(3x + 1) + C

• 1/2 e^(3x + 1) + C

• 1/3 e^(3x + 1) + C