1. Find the antiderivative of (1) f (t ) = 2t - 4+3Vi t (ii) g(x) = sec2 x - i cos x 8 (ii) h(x) = = x2 1 + x2 2. A particle is moving with the given data. Find the position function of the particle. (i) a(t) = 3 cost - 2 sint , s(0) = 0, v(0) = 4 (ii) a(t) = t2 - 4t +6, s(0) = 0, s(1) = 20 3. Using the left-endpoint Riemann sum with 4 equal subintervals, estimate the area bounded above by the curve f ( x ) = 1+x2 and below by x-axis on the interval [0,2]. Give answer correct to three decimal places