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Let F (a) be an antiderivative of sin (3x ) cos(4x ). Evaluate F(T/2) - F(0). OO O J / Co O None of these OWhich one of the following statements is true about the definite integral 6 a dx -1 O The are under the graph of y = @ , above the -axis, and between the lines = -1 and @ = 6 is equal to 13 ONone of these Its value is equal to 19/2 O The area under the graph of y = @ , above the C-axis, and between the lines x = -1 and x = 4 is equal to 12 Its value is equal to 37/2The mass density' of a bar of length L is given by p($) : CE :1\": for 0 i: :13 g L. Find the mass of the bar by integrating the mass density over the whole length of the bar. C1 2,1L1r'2 ['le None of these '3:._:3' 206153 f 2 Let f be a differentiable function with f (7 / 2) = 0 and f'(t) dt = - sin x + C where C'is a constant. Then TT/2 None of these Of(x) = -1 - sin x. Of(a) = - sin ac Of(x) = 1 - sin x Of(x) = cos aA continuous function f has an antiderivative F such that F(-2) = -1, 2 F(1) = 2 and F(2) = -1. Evaluate the definite integral f(s) ds. -2 OO, 03, O - 2, None of these O1,dz Let > = Arctan f(x) where f(0) = -1 and f'(0) = 6. Evaluate at dx x = 0. None of these 02 03 04 O1/2