An integral is a function, of which a given function is the derivative. Integration is basically used to find the areas of the two-dimensional region and computing volumes of three-dimensional objects. Therefore, finding the integral of a function with respect to x means finding the area to the X-axis from the curve. This section contains recollecting the thoughts of finding areas bounded by the curve, definite integral as the limit of a sum, introduces the application of integrals such as the area under simple curves, between lines, parabolas and ellipses.
The average value of a function can be calculated using integration.
We continue the discussions about integrals starting with definition, area under simple curves, area of the region bounded by a curve and a line, area between two curves and miscellaneous examples. From the below-given links, students can access the exercises with solutions explaining the concepts from this chapter.