Chapter 3 Integration 2nd Year Mathematics

To find a function when its derivative is known, we employ the reverse process of differentiation, termed anti-derivation or integration. This involves the use of differentials of variables, particularly in the method of substitution during the integration process. Before delving further into anti-derivation, let’s first explore differentials of variables.

Differentials of Variables Integration serves as the inverse of differentiation. In Chapter 2, we focused on finding the derived function of a given function. Now, we consider the opposite process — determining a function when its derivative is known.

Integration as Anti-Derivative (Inverse of Derivative): The inverse process of differentiation, seeking a function when its derivative is given, is termed anti-differentiation or integration.

Exercise 3.1

Exercise 3.2

Exercise 3.3

Exercise 3.4

Exercise 3.5

Exercise 3.6

Exercise 3.7

Exercise 3.8

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