To make it easier for you to enter an expression, you can use the default one and modify it according to your assignment. When I do my homework I use this integral calculator to check if I was moving in the right direction. It is not that hard to make a minor mistake and then all the further calculations will be a waste of time. Pay close attention and use this tool to make sure you know what you are doing. Here are some examples:
Here's a short and simple explanation of the nature of integrals for your better understanding of this kind of math problems.
The integral is the result of the continuous summation of an infinitely large number of infinitesimal terms. Integration of the function takes infinitesimal increments of its arguments and calculates an infinite sum of the increments of the function in these sections. In a geometric sense, it is convenient to think about the integral of a two-dimensional function in a certain section as the area of a figure closed between the graph of this function, the X-axis, and straight lines corresponding to the selected interval perpendicular to it.
Example: Integrating the function Y = X² on the interval from X = 2 to X = 3. To do this, we need to compute the antiderivative of the integrable function and take the difference of its values for the ends of the interval.
X³ / 3 at the point X = 3 takes 9, and at the point X = 2 we have 8/3. Therefore, the value of our integral is 9 - 8/3 = 19/3 ≈ 6.33.