For ⁴f₀ (x⁵ square root 1+x³) dx

a. Make the appropriate substitution in u and express the integrand in terms of u =g(x) and du.

b. Find the new limits of integration of u=g(a) and u=g(b).

c. Use the substitution rule and your results from parts a. and b. above to evaluate the definite integral in u. ⁴f₀ (x⁵ square root 1+x³) dx