Integral help please; relatively simple

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    Integral
In summary, an integral is a mathematical concept used to find the area under a curve and solve problems related to finding the total amount of something. There are various methods to solving an integral, such as using basic integration rules, substitution, or integration by parts. The purpose of finding integrals is to have real-world applications and help find the exact value of a function at a certain point. Integrals can be solved using a calculator, but more complex ones may require manual solving or specialized software. Some common mistakes to avoid when solving integrals include incorrect use of integration rules, incorrect substitution, and forgetting to add the constant of integration. It is important to double-check the final answer to ensure it makes sense in the context of the problem.
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chromecarz00
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Homework Statement



∫ Sqrt(2x + 7) dx

Homework Equations





The Attempt at a Solution



I know that part of it is
(2x+7) ^ 3/2 , but is there a chain rule to it?
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  • #2
It's the chain rule in a way. Put u=2x+7, du=2dx. When you get the answer check it by differentiation and you'll see the chain rule.
 

1. What is an integral?

An integral is a mathematical concept used to find the area under a curve. It is used to solve problems related to finding the total amount of something, such as distance traveled or volume of a shape.

2. How do I solve an integral?

There are various methods to solving an integral, such as using basic integration rules, substitution, or integration by parts. It is important to first identify the type of integral and then choose the appropriate method to solve it.

3. What is the purpose of finding integrals?

Integrals have many real-world applications, such as calculating areas, volumes, and rates of change. They also help to find the exact value of a function at a certain point, which can be useful in various fields such as physics, engineering, and economics.

4. Can integrals be solved using a calculator?

Yes, most scientific calculators have an integral function that can be used to solve basic integrals. However, more complex integrals may require manual solving or the use of specialized software.

5. What are some common mistakes to avoid when solving integrals?

Some common mistakes to avoid when solving integrals include incorrect use of integration rules, incorrect substitution, and forgetting to add the constant of integration. It is also important to double-check your final answer and make sure it makes sense in the context of the problem.

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