Sejarah Form 5 Bab 3
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Integration. 1. Integration Learning Objectives: In this chapter, you will learn about the concept of indefinite integral Learning Outcomes: Determine integrals by reversing differentiation. 3.1 Indefinite Integral.
3.1.2 Integration of algebraic expressions Integrate (a) 8 (b) 3.5 (c) 3.1.2 (a) Integral of Constant. 3.1.2 Integration of algebraic expressions During differentiation, we carry out two operations on each term in x: multiply the term with the index, and reduce the index by 1. 3.1.2 (b) Integral of Differentiation Integration. Examples 1: Integrate each of the following with respect of x: (a) (b). Examples 2: If the derivative of a function is given as find the function y.
3.1.3 Determine the constant of Integration. Examples 1: Subsitute x=3 and y=5 into (1) If and y=5 when x=3, find the value of y when x=5. 3.1.4 Equations of curve from functions of gradients Examples 1: Find the equation of curve. By integration, The curve passing through the point (-1, 2) x=-1 when y=2 The equation of the curve is The gradient of a curve passing through the point (-1, 2) is given by.
Examples 2:. Find the value of k. The gradient function of a curve passing through the point (-1, 2) and (0,k) is. The curve pass through (-1, 2) Therefore, the equation of the curve is At point (0, k),. Exercise 3-1-09 t0 6-1-09 Given that and that y=5 when x= -1, find the value of y when x=2 Given that and that v=2 when t = 1, find the value of v when t = 2.
Sejarah Form 5 Bab 8 Kertas 3
3.1.5 Integrate by substitution Find the integration by substitution. 3.1.5 Integrate by substitution Find the integration by substitution. 3.1.5 (a) Integral of. The gradient of the curve, Integrate with respect to x, we have Since the curve passes through (4, -3) The equation of the curve is The slope of a curve at any point P(x, y) is given.