Walkthrough of these two integral questions?

Thread starter annoying
Start date Oct 28, 2011
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Integral

In summary, a walkthrough of an integral question is a step-by-step explanation of how to solve an integral problem. The technique used to solve an integral question depends on its form and can include substitution, integration by parts, and trigonometric substitution. There are several types of integrals, including indefinite, definite, improper, and multiple. To check your answer, you can use the Fundamental Theorem of Calculus or a graphing calculator. Calculators can be used to solve integrals, but it is important to also show your work for accuracy.

Oct 28, 2011

annoying

So, I have the answer but I don't know how the question got from the start to end.

I've tried different ways but get stuck. I don't know how to rearrange the function to make an easy u substitution.

http://img713.imageshack.us/img713/7367/screenshot20111028at200.png

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Oct 28, 2011

HallsofIvy

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Homework Helper

For (1), let u= ln(t). What is du?

For (2), let [itex]u= tan^{-1}(x)= arctan(x)[/itex]. What is du?

FAQ: Walkthrough of these two integral questions?

What is a walkthrough of an integral question?

A walkthrough of an integral question is a step-by-step explanation of how to solve an integral problem. It typically involves breaking down the problem into smaller, more manageable steps and using various techniques and formulas to find the solution.

How do I know which technique to use when solving an integral question?

The technique used to solve an integral question depends on the form of the integral. Some common techniques include substitution, integration by parts, and trigonometric substitution. It is important to carefully analyze the integral and choose the most appropriate technique based on its form.

What are the different types of integrals?

There are several different types of integrals, including indefinite integrals, definite integrals, improper integrals, and multiple integrals. Indefinite integrals involve finding the antiderivative of a function, while definite integrals involve finding the area under a curve. Improper integrals involve integrating over infinite or unbounded intervals, and multiple integrals involve integrating over multiple variables.

How do I check my answer for an integral question?

To check your answer for an integral question, you can use the Fundamental Theorem of Calculus to take the derivative of your solution and see if it matches the original integrand. You can also use a graphing calculator or computer program to graph both the original function and your solution and see if they match.

Can I use a calculator to solve an integral question?

Yes, you can use a calculator to solve an integral question. However, it is important to remember that calculators can only provide an approximate answer and may not be able to solve more complex integrals. It is always best to also show your work and use the calculator as a tool to check your answer.