Problem 4. (a) Use the substitution u = g(x) = In x to rewrite the integral (In a) dx in the form J f(g(x))g'(x) dx. Explicitly identify the function f(u) and use it to find the family of antiderivatives. (b) Use the substitution u = g(t) = vt to rewrite the integral eve St dt in the form S f(g(t))g'(t) dt. Explicitly identify the function f(u) and use it to find the family of antiderivatives.(c) Use the substitution u = g(x) = 23 + 4 to rewrite the integral 2 2 23 + 4 dx in the form J f(g(x) )g'(x) dx. Explicitly identify the function f(u) and use it to find the family of antiderivatives. (d) Use the substitution u = g(x) = 3x + 5 to rewrite the integral 3x + 5 dx in the form S f(g(x))g'(x) dx. Explicitly identify the function f(u) and use it to find the family of antiderivatives