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(5 points) Evaluate the indefinite integral using substitution. (Use C for the constant of integration.) dx = Vx - 9\f(5 points) Find f if f"(x) = 2 + cos(x), f(0) = -10, f(x/2) = 6. f ( x) =(5 points) Let f(x) dx = -6, f( x ) dx = -8, g(x) dx = 6, 8 (x) dx = 5, Use these values to evaluate the given definite integrals. 2 al (f ( x ) + 8 ( x ) dx = 3 ( f(x ) - 8 (x ) dx = c) (3f (x) + 2g(x)) dx = 3 d) Find the value a such that (af(x) + g(x)) dx = 0. 0 =(5 points) A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite integrals. -18 o ) ( f ( x ) dx = I f() dx = 10 f(x) dx = 10 e) 5f(x) dx = 57(5 points) Consider the graph of the function f(x): -2 y = f (x) 0 2 4 6 8 X Evaluate the following integrals by interpreting them in terms of areas: a ) If ( x ) dx = (b) / f ( x ) dx = c ) ( f ( x ) dx = ( f ( x) dx =