High School How would I calculate how much light is being bent in a certain area?

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To calculate how much light is bent in a certain area, integrals are necessary, as indicated by the proposed formula L = ∫_x^y MGc² dx. The formula incorporates mass (M), the gravitational constant (G), and the speed of light (c) to account for the effects of gravity on light. The discussion suggests that understanding the index of refraction could also be beneficial in this context. The user seeks clarification and assistance on the correctness of their approach. Engaging with these concepts is essential for grasping the physics of light bending in gravitational fields.
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Hey guys, I'm trying to teach myself physics and ran into a problem. I've recently been trying to calculate how much light is being bent in a certain area. I think we'd have to use integrals? I came up with this little formula, but not sure if it's right. If anyone can help me, that'd be much appreciated! :))

$$L = \int_x^y MGc^{2} dx$$

How did I get this equation? First I thought how would I do this? I realized because we're calculating 2 points in the area of a wave, we'd have to use an integral. And then, I multiplied M (Mass of the object) by G (Gravitational constant) to signify that mass and gravity are involved. I then multiplied this by c^2 (speed of light, every second) because I decided that if we do this we'd get the speed of light by M and G. And of course, I then used dx. Thanks!

All help is appreciated! (Please remember, I'm new to astrophysics)
 
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Have you tried working out the Index of Refraction? This might help!
 

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