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: What is the area? And as the slices approach zero in width, the answer approaches the true answer.

In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus, [a] the other being differentiation.

Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration). All common integration techniques and …

Integration is the union of elements to create a whole. Integral calculus allows us to find a function whose differential is provided, so integrating is the inverse of differentiating. It defines and computes the area of a region constrained by the graph of a function.

Integration is finding the antiderivative of a function. It is the inverse process of differentiation. Learn about integration, its applications, and methods of integration using specific rules and formulas.

Jul 23, 2025 · The process of determining the function from its derivative is called Integration. In other words, the procedure of finding the anti-derivatives of the function is called the integration. The result obtained after the integration is called integral.

Practice Integration using trigonometric identities Get 3 of 4 questions to level up!

Jul 28, 2025 · Explore the fundamentals of calculus including derivatives, integrals, and limits with step-by-step explanations and solved examples. Ideal for students and exam prep.

Jun 6, 2018 · In this chapter we will be looking at integrals. Integrals are the third and final major topic that will be covered in this class. As with derivatives this chapter will be devoted almost exclusively to finding and computing integrals. Applications will be given in the following chapter.

We have already discussed some basic integration formulas and the method of integration by substitution. In this chapter, we study some additional techniques, including some ways of approximating definite integrals when normal techniques do not work.