Anyone in calculus , where does the fraction in the integral even come from? i've tried to wrap my head around it but it doesnt even make sense nor when i look up on google ( where does fraction behind integral sign come from) get no results\. define where 1/3 is derived from:

{integral sign} x^2*e^x^3 = 1/3 {integral sign} e^x^3*(3x^2) dx = 1/3*e^x^3 + c

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)