- #1
tade
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I would like to integrate w.r.t. x, the rest are constants.
This is not homework; it is related to a physics problem regarding single-slit diffraction.
Integrating a Function with Constants: A Physics Perspective
In summary, the conversation is about integrating with respect to x, with the rest of the variables being constants. The person suggests using a link from Wolfram Alpha, but it is unable to solve the problem. They also suggest considering if the integral was correctly derived, if it is integrable, and if it can be solved numerically. They also mention the possibility of plotting the integrand to gain more insight.
I would like to integrate w.r.t. x, the rest are constants.
This is not homework; it is related to a physics problem regarding single-slit diffraction.
- #2
jedishrfu
Mentor
- 14,787
- 9,123
You picture is not displaying.
- #3
tade
- 702
- 24
Try this link: https://www.wolframalpha.com/input/?i=int+cos(A*sqrt(c+x^2)-B)jedishrfu said:
Unfortunately, Wolfram Alpha can't solve it.
- #4
jedishrfu
Mentor
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I guess there's a couple of ideas to consider:
1) Did you correctly derive the integral from your physics problem?
2) Did the Prof say it should be integrable?
3) Its not in my integral tables book so I'm not sure how to solve it which isn't saying much for me but perhaps you'll need to numerically solve it.
4) Have you plotted the integrand to see what kind of curve it is?
1) Did you correctly derive the integral from your physics problem?
2) Did the Prof say it should be integrable?
3) Its not in my integral tables book so I'm not sure how to solve it which isn't saying much for me but perhaps you'll need to numerically solve it.
4) Have you plotted the integrand to see what kind of curve it is?
What is integration and why is it important in science?
Integration is a mathematical process that involves finding the area under a curve. It is important in science because it allows us to calculate important quantities such as displacement, velocity, and acceleration.
What is the difference between definite and indefinite integration?
Definite integration involves finding the area under a curve within specific limits, while indefinite integration involves finding an expression that represents the antiderivative of a function.
What are the steps to integrate a function?
The first step is to identify the function and determine if it is continuous. Then, use integration rules or techniques to simplify the function. Next, integrate each term separately and add the constants of integration. Finally, check your answer by differentiating it to see if you get the original function.
What are some common integration techniques?
Some common techniques include substitution, integration by parts, partial fractions, and trigonometric substitution. Each technique is useful for different types of functions.
How can integration be applied in real-world situations?
Integration is used in various fields of science, such as physics, engineering, and economics, to solve real-world problems. It can be used to calculate the volume of irregular shapes, determine the work done by a force, and predict future trends in data.
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