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**Week 7: Definite and indefinite integrals. Techniques of integration. (page 372 to 382, Exercise 5.2))**

The **definite integral** is defined to be exactly the limit and summation that we looked at in the last section to find the net area between a function and the x -axis. Also note that the notation for the **definite integral** is very similar to the notation for an indefinite **integral**.

- The process of finding the
**indefinite integral**is also called integration or integrating f(x). f ( x ) . - The above definition says that if a function F is an antiderivative of f, then. ∫f(x)dx=F(x)+C. for some real constant C. C .
- Unlike the definite
**integral**, the**indefinite integral**is a function. Technique of integrations:**Integration**by parts, u-substitution,, Reverse chain rule, Partial fraction expansion,**Integration**using trigonometric identities, Trigonometric substitution.