Pls provide me all rules of integration
Answers
The power rule for integration is the inverse of the power rule used in differentiation. It gives us the indefinite integral of a variable raised to a power.
The constant coefficient rule (sometimes called the constant multiplier rule) essentially tells us that the indefinite integral of c · ƒ(x), where ƒ(x) is some function and c represents a constant coefficient, is equal to the indefinite integral of ƒ(x) multiplied by c. We can express this formally as follows:
∫ c ƒ(x) dx = c ∫ ƒ(x) dx
The sum rule tells us how we should integrate functions that are the sum of several terms. It basically tells us that we must integrate each term in the sum separately, and then just add the results together. The order in which the terms appear in the result is not important. We can state this formally as follows:
∫ (ƒ(x) + g(x)) dx = ∫ ƒ(x) dx + ∫ g(x) dx
The difference rule tells us how we should integrate functions that involve the difference of two or more terms. It is essentially the same as the sum rule in that it tells us that we must integrate each term in the sum separately. The only difference is that the order in which the terms appear is critical, and must not be changed. We can state this rule formally as follows:
∫ (ƒ(x) - g(x)) dx = ∫ ƒ(x) dx - ∫ g(x) dx
thnx