please explain the method of integration

Dear Student,

Given a function ƒ of a variable x in an interval [a, b] , the definite integral

is defined informally to be the net signed area of the region in the xy-plane bounded by the graph of ƒ, the x-axis, and the vertical lines x = a and x = b.

once an antiderivative F of ƒ is known, the definite integral of ƒ over that interval is given by

There are various rules to find the 'anti-derivative' of a function f(x), that are used to calculate the value of an integral. 

We have explained 'Integration' in general. Please let us know where specifically are you having problem in the topic, so thta we can sort out that specific doubt of yours.

Regards

Team

TopperLearning