problem 1 and problem 2 plz

Math 151:19-21 Workshop 12 Ian Coley 3 December 2019 Problem 1. Consider the integral 2+ 2x+ 2 2 (a) The process of completing the square involves factoring a polynomial so it becomes of the form (ax + b)2 + c. Find the number b so that x2 + 2x + 2= (x + 6)? +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)? + c will have all numbers not equal to 1. Problem 2. Compute the derivative of cosh (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