Question 8

7 Question /Vraag Complete the given properties of definite integrals. Voltooi die gegewe eienskappe van integrale. 7.1 So kf ( x ) dx = 7.2 Sef ( x ) dx + So f (x) dx = 7.3 f (x) s g(x), x E [a, b] = 8 Question /raag Determine the derivative of the given function. Bepaal die afgeleide van die gegewe funksie. arccosh x exz dx cosh x 9 Question /raag Consider the theorem with proof and answer the questions to follow Beskou die stelling met bewys en beantwoord die vrae wat volg. If the function f (x) is continuous on the interval [a, b], Indien die funksie f (x) kontinu is op die interval [a, b], 3 c E [a, b] = f (c) (b - a) = | f(x) Proof/ Bewys: 3 f (m), f(n), m, n E [a, b] = f (m) sf(x) sf - | f (m)axs f ( x )dxs f (n = f ( m ) ( b - a) s [ f ( ) dx s f ( n ) (