Question 8 (1 point)\ What is the goal of replacing

\\\\int_1^(\\\\infty ) f(x)dx

with

\\\\lim_(b->\\\\infty )\\\\int_1^b f(x)dx

\ Adding a new variable to simplify the integral.\ Removing the infinity from the problem.\ Making the integral more complicated to evaluate.\ After the limit construction, the function is continuous over

1,b

, so\

\\\\int_1^b f(x)dx

can be evaluated by Fundamental Theorem of Calculus.

What is the goal of replacing 1f(x)dx with limb1bf(x)dx Adding a new variable to simplify the integral. Removing the infinity from the problem. Making the integral more complicated to evaluate. After the limit construction, the function is continuous over [1,b], so 1bf(x)dx can be evaluated by Fundamental Theorem of Calculus