The functions y = ex and y = x^ex* don't have elementary antiderivatives, but y = (4x² + 1) e** does. Evaluate the following integral. (Use C for the constant of integration.) [((x¹+1) ex) dx

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A: Given: fx=gxhx        -(1) Also, g14=4h14=4g'14=5f'14=1 Now, putting the value of g(14) and h(14) in…