- Question 1 Let f be a function everywhere differentiable on R., whose derivative is continuous. Let a and b be two real numbers with a R. satisfies So f (2 ) dz = x, find the exact value of 1/3 12 f (13) dx =- Question 2 Given that g(t) = 3t + 1 for all t e R, compute F(z) = g(t) dt= for r > 1. Hint Penalty Warning 0.0 View Hint Hint 0.0 View Hint4 - Question 3 First let h(u) = cos(x) dr. dh Then du 4 Now let g () = At cos (x) dx . dg Then dt\fQuestion 5 To compute the integral 2 sin(z)eCOS (F) dr, we should use the substitution 1 = to obtain the integral f(u) du with a