(Solved): 1. Consider the curve given by \( y^{5}+1=\ln (x+5) \). a. [2 pts] Use a computer to graph the cur ...

1. Consider the curve given by \( y^{5}+1=\ln (x+5) \). a. [2 pts] Use a computer to graph the curve. Make sure to include most interestin features in your graph. b. [4 pts] Set up and simplify an integral in terms of \( x \) that represents the arclength from \( x=-2 \) to \( x=2 \). Then evaluate your integral using a computer system. c. [4 pts] Set up and simplify an integral in terms of \( y \) that represents the arclength from \( x=-2 \) to \( x=2 \). Then evaluate your integral using a computer system.Make sure it agrees with part a.