conclusion indefinite integral

Conclusion - In this chapter we have learnt the definition of antiderivative and various techniques of integration..

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..

Two indefinite integrals with the same derivative lead to the same family of curves and so they are equivalent. Comparison between differentiation and integration: 1. The derivative of a function, when it exists is a unique function. The integral..

Let f(x) = 3x 2 Note that for different values of C we get different integrals. But all these integrals are very similar geometrically. The function y = x 3 + C represent a family of integrals. The above figure shows different curves of the integral function ..

Indefinite Integrals as Antiderivative - Consider the following example: Let f(x) = cos 3x, let us find a function F(x) such that We know that Here In other words we say the integral cos 3x is Suppose then also we ha..

Consider the following example: Let f(x) = cos 3x, let us find a function F(x) such that We know that Here In other words we say the integral cos 3x is Suppose then also we ha..

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In this chapter we have learnt the definition of antiderivative and various techniques of integration..

In this chapter we have learnt the definition of antiderivative and various techniques of integration...

Conclusion Definite Integrals - In this chapter we have studied the properties of definite integrals and application of definite integrals in evaluating the area of plane curves.In this chapter we have studied the properties of definite integrals an..