I'm struggling on calculus. PLEASE HELP ASAP. use red writing to help out.​

Step-by-step explanation:

1. Given: a = 4t + 4

We know that

By definition, the integral of a power function x^n is

Integrating the acceleration a, we get

where k = constant of integration. We know that v = 10 when t = 0 so when we do the substitution, we get k = 10 therefore, the final expression for v is

To find s, we need to integrate v. Knowing that

where k once again is the constant of integration. We know that s = 2 when t = 0, which gives us k = 2. Therefore, the final expression for s is

2. The potential difference V between two boundaries a and b is given by

Note that the integral in the expression above can be rewritten and the integrated as

so the potential difference V is then J

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step-by-step explanation: