QUESTION 2 a) Evaluate the following integrals 10 i) 2 (VX + 7)2 dx (4 marks) sind ) (3 marks) b) The Mean Value Theorem for integrals states that if f(x) is continuous on (a,b], then there exists a number c in (a,b) such that f(x)dx = f( c Yb - a) Use the result of the theorem to find c for f(x)= x2 + x +2 on the interval [17). (4 marks) c) Use the Second Fundamental Theorem of Calculus to find F(1) if F(x)= *2+1 dt. (+3 (4 marks)