Integration can be used to find areas, volumes, central points and many useful things. It is often used to find the area underneath the graph of...

There are a few methods to be followed like substitution method, integration by parts, and integration using partial fractions. These are discussed here in this article.

Example 1 : Integrate the following with respect to x ∫ x 11 dx Solution : ∫ x11 dx = x (11 + 1)/ (11 + 1) + c = (x12/12) + c Example 2 : Integrate the following with respect to x ∫ (1/x 7) dx Solution : …

Dec 26, 2025 · Here, you’ll learn about different forms of integrals and when to use each type to represent and solve accumulation problems. This section introduces powerful techniques and …

In this chapter, we study some additional techniques, including some ways of approximating definite integrals when normal techniques do not work. In a large city, accidents occurred at an …

The following diagrams show some examples of Integration Rules: Power Rule, Exponential Rule, Constant Multiple, Absolute Value, Sums and Difference. Scroll down the page for more …

A tutorial, with examples and detailed solutions, in using the rules of indefinite integrals in calculus is presented. A set of questions with solutions is also included.

Jan 28, 2025 · Curious about integration? We explore 8 practical examples on how calculus shapes daily life, from calculating areas to predicting trends, made simple.

Apr 28, 2025 · To do this integral we will need to use integration by parts so let’s derive the integration by parts formula. We’ll start with the product rule. Now, integrate both sides of this. …

Aug 6, 2024 · Integration is a fundamental concept in calculus used to compute areas under curves, volumes, and other quantities that aggregate infinitesimal data points. Here are some …