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Further Mathematics Notes

Integration in Calculus

GENERAL EVALUATION/REVISIONAL QUESTIONS

1.Find the derivatives of the following with respect to x;

(a)        y = (15 + 5x)(1 + 2x)               (b)           y = (1 + 2x)12                       (c) y = 3x2 (3 – 2x + 4x2) ½

2. Given that the gradient function of a curve is 8x – 2, find the equation of the curve at point (2, 4)

3. Find ∫(x2 + 1)(x3 – 2)dx 

4. Find ∫x2 e2xdx                    

Reading Assignment: Read Integration, Page 31 – 46  Further Mathematics project III.

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