Can someone check me on this definite integral

In summary, a definite integral is a mathematical concept used to find the area under a curve between two points on a graph. It is denoted by ∫f(x)dx and is calculated using the fundamental theorem of calculus. Definite integrals are used because they can find exact areas that are difficult to calculate using traditional methods, and they have many applications in various fields. To solve a definite integral, one must identify the limits of integration, find the antiderivative of the function, and substitute the limits into the antiderivative. It is recommended to have someone else check the work on a definite integral to catch any mistakes or errors. Common mistakes when solving definite integrals include forgetting the constant of integration, mixing up limits, and
  • #1
pmqable
13
0

Homework Statement


integral from 0 to pi of (x sinx)/(1+cos^2x)

Homework Equations


I just need to know if I did it right

The Attempt at a Solution


I got (5pi/6)-1/9
 
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  • #2
You are much more likely to get a reply if you explain how you got that result.
 
  • #3
Fredrik said:
You are much more likely to get a reply if you explain how you got that result.
My thoughts exactly. To check this work, we have to do the integration for ourselves, which is a lot more work than if we can see what you (pmqable) did.
 

FAQ: Can someone check me on this definite integral

What is a definite integral?

A definite integral is a mathematical concept that represents the area under a curve between two points on a graph. It is denoted by ∫f(x)dx and is calculated using the fundamental theorem of calculus.

Why do we use definite integrals?

Definite integrals are used to find the exact area under a curve, which can be difficult to do using traditional methods. They also have many applications in physics, engineering, and other fields.

How do you solve a definite integral?

To solve a definite integral, you need to first identify the limits of integration (the two points between which the area is being calculated). Then, you need to find the antiderivative of the function being integrated. Finally, you can substitute the limits of integration into the antiderivative and calculate the area using basic arithmetic.

Can someone else check my work on a definite integral?

Yes, it is always a good idea to have someone else check your work on a definite integral. This can help catch any mistakes or errors in your calculations and ensure that you have correctly solved the integral.

Are there any common mistakes when solving definite integrals?

Yes, some common mistakes when solving definite integrals include forgetting to include the constant of integration, mixing up the limits of integration, and making calculation errors. It is important to double check your work and be careful with signs and notation to avoid these mistakes.

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