MillerL7 said:A population of cattle is increasing at a rate of 200 + 10t per year, where t is measured in years. By how much does the population increase between the 4th and 6th years. What is the total increase?
I tried doing integration and take it from the right hand site, but that was incorrect...please help me. thank you.
Integration is a mathematical concept that involves finding the area under a curve. It is used to solve problems related to finding the total amount or accumulation of a quantity over a given interval.
Integration is important because it has many real-world applications. It is used in fields such as physics, engineering, economics, and statistics to solve problems related to rates of change, optimization, and accumulation.
There are two main types of integration: definite and indefinite. Definite integration involves finding the exact value of an integral over a specific interval, while indefinite integration involves finding a general solution to an integral without any specific limits.
To solve an integration problem, you need to use integration techniques such as substitution, integration by parts, or partial fractions. It is important to understand the fundamental concepts and properties of integration before attempting to solve any integration problem.
Common mistakes to avoid when integrating include forgetting to include the constant of integration, making careless errors in algebraic manipulation, and not checking the final answer for correctness. It is also important to be familiar with the basic rules of integration and to double-check the limits of integration when solving definite integrals.