Problem 3 please

(a) The process of completing the square involves factoring a polynomial so it becomes of the form (ax + b)? + c. Find the number b so that x2 + 2x + 2 = (x + b)2 + 1. 1 (b) Use the substitution u = x + b to evaluate the above antiderivative. (c) Repeat the process but for 4x2 + 20x + 34 Hint: the factorisation into (ax + b)2 + c will have all numbers not equal to 1. Problem 2. Compute the derivative of cosh 1(x) using the chain rule and the hyperbolic Pythagorean identity. Problem 3. Use the substitution u = tan(x) to evaluate 1 + sin? (x) by showing (via trigonometric identities) that -S 1 + 2u2 1 + sin?(2) Problem 4. Compute the derivative of the following functions: (a) f(x) = sinh(In(z)) (b) g(z) = 2sinh -1(x) (c) h(x) = tanh"(e* + 22 )