- #1
Madou
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I'm finding the arch length of a curve:
[tex] $\int_0^b \sqrt{1+sh^2(x/a)} dx$ [/tex]
How do i integrate this function?
[tex] $\int_0^b \sqrt{1+sh^2(x/a)} dx$ [/tex]
How do i integrate this function?
Last edited:
CompuChip said:What do you mean by "count"?
It's a pity I can't edit the topic.klondike said:I think he meant "evaluate".
Madou said:The derivative of sinh is cosh and the derivative of cosh is sinh
CompuChip said:Does this mean you have solved the problem?
An integral is a mathematical concept that represents the area under a curve on a graph. It is often used to find the total amount or quantity of something, and is an important tool in calculus and other branches of mathematics.
To count an integral, you must use a method known as integration, which involves breaking the area under the curve into smaller, more manageable pieces and finding the sum of these pieces. This can be done using different techniques, such as the fundamental theorem of calculus or substitution.
Counting an integral is important because it allows us to find the total amount or quantity of something that is changing continuously, such as velocity, acceleration, or volume. It also has many real-world applications in fields such as physics, engineering, and economics.
There are two main types of integrals: definite and indefinite. Definite integrals have specific limits of integration and give a single numerical value as the result, while indefinite integrals do not have limits and give a general formula with a constant of integration as the result.
Integrals have many practical applications in different fields. For example, in physics, integrals can be used to calculate the work done by a force or the amount of energy stored in a system. In economics, integrals can be used to find the total revenue or profit function for a business. They can also be used in engineering to calculate the area under a stress-strain curve to determine the strength of a material.