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 e^2xdx                    

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