###
**Week 8: Integration**

**Integration**, in mathematics, technique of finding a function *g*(*x*) the derivative of which, *Dg*(*x*), is equal to a given function *f*(*x*). This is indicated by the integral sign “∫,” as in ∫*f*(*x*), usually called the indefinite integral of the function. The symbol *dx* represents an infinitesimal displacement along *x*; thus ∫*f*(*x*)*dx* is the summation of the product of *f*(*x*) and *dx*. **Integration is** a way of adding slices to find the whole. **Integration** can be used to find areas, volumes, central points and many useful things. But it **is** easiest to start with finding the area between a function and the x-axis like this. **Integration** is the calculation of an integral. **Integrals in maths** are used to find many useful quantities such as areas, volumes, displacement, etc. When we speak about **integrals**, it is related to usually definite **integrals**. The indefinite **integrals** are used for antiderivatives.