Abstract
This chapter discusses the methods of integral calculus. The process of obtaining a function from its differential coefficient is called integration. The result is written as ∫xn dx = xn+1/ (n+1) + C and ∫xn dx is called the integral of xn in regard to x. The process of integration leads to an indefinite result unless there are additional data that enable the constant to be determined. These methods can be applied to problems concerning the motion of a particle in a straight line when the data include either the relation between velocity and time, or the relation between acceleration and time. The area bounded by the curve y = f(x), the x-axis, and the ordinates at x = a and x = b. If P is the point (x,y) where a ≤ x ≤ b and x varies along the curve, and if PN is the ordinate at P, then the area CPNT is a function of x and will vary with x.
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