Basically, integration is a way of uniting the part to find a whole. It is the inverse operation of differentiation. Thus the basic integration formula is ∫ f'(x) dx = f(x) + C. I want to see your full face !
Integration formulas can be applied for the integration of algebraic expressions, trigonometric ratios, inverse trigonometric functions, and logarithmic and exponential functions. The integration of functions results in the original functions for which the derivatives were obtained. These integration formulas are used to find the antiderivative of a function. If we differentiate a function f in an interval I, then we get a family of functions in I. If the values of functions are known in I, then we can determine the function f. This inverse process of differentiation is called integration.
Let's move further and learn about integration formulas used in the integration techniques.
What are Integration Formulas?
The integration formulas have been broadly presented as the following sets of formulas. The formulas include basic integration formulas, integration of trigonometric ratios, inverse trigonometric functions, the product of functions, and some advanced set of integration formulas. Basically, integration is a way of uniting the part to find a whole. It is the inverse operation of differentiation. Thus the basic integration formula is ∫ f'(x) dx = f(x) + C. Using this, the following integration formulas are derived
Integration as an Inverse Process of Differentiation – Reason. We know that differentiation is the process of finding the derivative of a function. Whereas integration is the process of finding the antiderivative of a function. Hence, we can say that integration is the inverse process of differentiation.
Answers & Comments
Step-by-step explanation:
Integration Formulas
Integration formulas can be applied for the integration of algebraic expressions, trigonometric ratios, inverse trigonometric functions, and logarithmic and exponential functions. The integration of functions results in the original functions for which the derivatives were obtained. These integration formulas are used to find the antiderivative of a function. If we differentiate a function f in an interval I, then we get a family of functions in I. If the values of functions are known in I, then we can determine the function f. This inverse process of differentiation is called integration.
Let's move further and learn about integration formulas used in the integration techniques.
What are Integration Formulas?
The integration formulas have been broadly presented as the following sets of formulas. The formulas include basic integration formulas, integration of trigonometric ratios, inverse trigonometric functions, the product of functions, and some advanced set of integration formulas. Basically, integration is a way of uniting the part to find a whole. It is the inverse operation of differentiation. Thus the basic integration formula is ∫ f'(x) dx = f(x) + C. Using this, the following integration formulas are derived
hope it helps you!
Step-by-step explanation:
Integration as an Inverse Process of Differentiation – Reason. We know that differentiation is the process of finding the derivative of a function. Whereas integration is the process of finding the antiderivative of a function. Hence, we can say that integration is the inverse process of differentiation.