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Evaluation of definite integral by substitution
We know that one of the most important method of evaluation of indefinite integral is method of substitution. While using method of substitution to evaluate definite integrals, following steps are involved.We know that one of the most important method of evaluation of indefinite..
Indefinite Integrals Conclusion
Conclusion - In this chapter we have learnt the definition of antiderivative and various techniques of integration..
Evaluation of definite integral by substitution
Evaluation of definite integral by substitution - We know that one of the most important method of evaluation of indefinite integral is method of substitution. While using method of substitution to evaluate definite integrals, following steps are involved.We know that ..
Integrated Rate Expressions
Concentration dependence of rate is a differential equation (equation 8). It is tedious to determine the instantaneous rates from the slopes of the tangents for each value of t and this in turn makes the rate law determination difficult. To avoid this difficulty, the integrated form of th..
Indefinite Integrals as Antiderivative (Contd...)
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 of a..
Integrated Pest Management
Integrated Pest Management - Integrated pest management (IPM) refers to techniques of managing the pest by making use of cultural, chemical and biological methods in the form of integrated module (specific to each crop and each situation). IPM techniques include a mix ..
Geometrical Interpretation of indefinite 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 ..
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 ..Some Special Types of Integrals
Prove that The quadratic expression ax 2 + bx + c can be expressed in the form a(x 2 A 2 ) by the method of completing the square. The integrals can be evaluated by using the special integrals..
Prove that The quadratic expression ax 2 + bx + c can be expressed in the form a(x 2 A 2 ) by the method of completing the square. The integrals can be evaluated by using the special integrals..Indefinite Integrals Summary
Summary - f(x) is called the integrand, F(x) is called the particular integral and C the constant of integration..
Summary - f(x) is called the integrand, F(x) is called the particular integral and C the constant of integration..Some Properties of Definite Integrals
The Properties of Definite Integrals are: 2) ..
The Properties of Definite Integrals are: 2) ..See what our Users say :
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