MATH137 : assign11.pdf
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MATH137 Full Course Notes
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Not handed in: find the derivative of each function. (cid:90) x (cid:90) 2 (cid:90) sin x x. 1 t2 + 1 dt cos(t2) dt sec t dt (a) f (x) = (b) h(x) = (c) g(x) : evaluate the integral. 3 (cid:90) 1 (cid:90) (cid:90) 8 (cid:90) 2 (cid:90) 2 (cid:90) 1/2 (cid:90) 1. 0 (a) (b) (c) (d) (e) (f) (g) | sin x| dx x 1 dx x sin 1 x. 0: find the area of the region enclosed by the given curves. (a) y = 1. 4x2, y = 2x2, x + y = 3 in the rst quadrant. (b) y = x3 + 8, y = 4x + 8, in the rst quadrant. (c) y = x2, y = x + 2.