solved assignment problems definite integrals

Betty completed solving 14 problems in her math assignment. How many problems were in her assignment, if she had to solve 18 more problems to complete the assignment? => 40 or 44 or 37 or 32..

If we are given the number of persons, number of jobs and the expected productivity of a particular person on a particular job, linear programming is used to maximise the average productivity of a perso..

Differentiation deals with the rate of change while integration deals with the total change. The definite integrals are evaluated in problems relating to plane, areas, areas and volumes of solid of revolution etc. In this chapter, we confine ourselves..

Let f (x) be a single valued continuous function defined in the interval [a,b] where b > 0 and let the interval [a,b] be divided into n equal parts each of length h, so that nh = b - a; then we defi..

In calculus, and more generally in mathematical analysis, integration by parts is a rule that transforms the integral of products of functions into other, possibly simpler, integrals. The rule arises from the product rule of differentiation. The formula for..

Properties of indefinite integral - (1) Let f(x) be a real value differentiable function, th..

The expression f(x) dx is read "the indefinite integral of f(x) with respect to x," and stands for the set of all antiderivatives of f. Thus, f(x) dx is a collection of functions ; it is not a single function , nor a numbe..

By method of completing squares ax 2 + bx + c is expressed as A 2 + X 2 or X 2 - A 2 and the integral reduces to which can be evaluated using the standard integrals..

Integration of the form - Put g(x) = t Differentiating g(x) with respect to t, we have g'(x) dx = dt F(t) + C F(g(x)) +..

Prove that: ..