What is an integral rule?

What is an integral rule?
Madison Apr-27-2023 10:00:33
Viewed 164 times

2 Answer


In calculus, an integral rule refers to a formula or technique used to evaluate definite or indefinite integrals. There are several integral rules, each designed to solve different types of integrals.

Some common integral rules include:

  • Power rule: This rule applies to integrals of the form ∫x^n dx, where n is any real number except for -1. The power rule states that ∫x^n dx = (1/(n+1))x^(n+1) + C, where C is the constant of integration.
  • Substitution rule: This rule is used to simplify integrals by substituting one variable with another. The substitution rule states that if u = g(x), then ∫f(g(x))g'(x) dx = ∫f(u) du.
  • Integration by parts: This rule is used to integrate the product of two functions. The integration by parts formula states that ∫u dv = uv - ∫v du, where u and v are functions of x and du/dx and dv/dx are their respective derivatives.
  • Trigonometric substitution: This rule is used to integrate functions that involve trigonometric functions. It involves substituting a trigonometric expression for x in the integral.
  • Partial fractions: This rule is used to simplify integrals that involve rational functions. It involves breaking the rational function into simpler fractions.

Integral rules are an essential tool in calculus, and they are used to solve a wide variety of problems in physics, engineering, economics, and other fields.

4 Ques 2 Ans
answered 28 Apr 2023
An integral rule is a mathematical formula or equation that is used to calculate the integral of a function. An integral can be used to find the area of a shape, the volume of a solid, or the arc length of a curve. It is a fundamental tool in calculus and is often used in solving problems in physics and engineering.
1 Ques 2 Ans
answered 22 Aug 2023

Your Answer


Login or Create Account to answer this question.

Do you have any opinion about What is an integral rule??

Login / Signup

Answers Adda Q&A communities are different.
Here's how

Knowledge sharing.

Question and answer communities are a great way to share knowledge. People can ask questions about any topic they're curious about, and other members of the community can provide answers based on their knowledge and expertise.

Engagement and connection

These communities offer a way to engage with like-minded individuals who share similar interests. Members can connect with each other through shared experiences, knowledge, and advice, building relationships that extend beyond just answering questions..

Community building.

Answers Adda Question & Answer communities provide a platform for individuals to connect with like-minded people who share similar interests. This can help to build a sense of community and foster relationships among members.