Question: calculus integration A) Evaluate the following integrals. (i) 4x+7) 2x+5, dx (ii) 5x2-2x+3 (x2+1)(x-1) dx iii) x2+x+2 3x3-x2+3x+1 dx (iv) dx (x+1)v-x2-2x (v) In (x)
calculus integration

A) Evaluate the following integrals. (i) 4x+7) 2x+5, dx (ii) 5x2-2x+3 (x2+1)(x-1) dx iii) x2+x+2 3x3-x2+3x+1 dx (iv) dx (x+1)v-x2-2x (v) In (x) dx 73 (vi) (1+x2)2 dx x+1 (vii) x(x+lnx) dx (viii) tan(cosx) dx (ix) Jo ex(1 + ex)1/2 dx (x) dx 2 sin x cos x B) Find the length of an arc of the curve y = = + from x = 1 to x = 2. C) Determine the area bounded by the curves y = vx and y = x - 2
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