Could i be shown this integration by parts step by step

In summary, the conversation is about the differentiation of the equation αh=α-ε+ih, with one person asking for clarification on what differentiation is seen and the other requesting for the complete problem to be written out. Integration is not mentioned in the original post.
  • #1
nowayjose
12
0

Homework Statement


αh=α-ε+ih

ΔαH/Δα= dαH/dα = d/dα x (α-ε+ih) = 1-(dε/dα)
 
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  • #2
I don't see any integration. I see only differentiation.
 
  • #3
What differentiation do you see? it would be great if you could write what you see so that i can see it as well.
 
  • #4
nowayjose said:
What differentiation do you see? it would be great if you could write what you see so that i can see it as well.

He see's what you've written. I see it the same way.

H/dα = d/dα x (α-ε+ih) = 1-(dε/dα)
 
  • #5
nowayjose said:
What differentiation do you see? it would be great if you could write what you see so that i can see it as well.
It would be even greater if you could write out the complete problem you are trying to solve.

As voko has stated, there is no integration mention in your Original Post.
 

Related to Could i be shown this integration by parts step by step

1. What is integration by parts?

Integration by parts is a mathematical method used to evaluate integrals involving products of functions. It is based on the product rule of differentiation and can be used to simplify and solve complex integrals.

2. How does integration by parts work?

The integration by parts method involves splitting an integral into two parts and applying the product rule of differentiation to one part while keeping the other part as it is. This process is repeated until the integral becomes simpler and can be easily solved.

3. Can you show me an example of integration by parts?

Sure, an example of integration by parts would be solving the integral of x*e^x. By applying the integration by parts method, we can rewrite this integral as e^x * x - ∫e^x * 1 dx. This new integral is simpler and can be easily solved to get the final answer.

4. When should I use integration by parts?

Integration by parts is useful when the integral involves a product of two functions, one of which can be easily differentiated while the other can be easily integrated. It is also helpful when other methods like substitution or trigonometric identities are not applicable.

5. Are there any tips for solving integration by parts problems?

Yes, there are a few tips that can make solving integration by parts problems easier. Some of these include choosing the correct functions to differentiate and integrate, using the mnemonic "LIATE" (logarithmic, inverse trigonometric, algebraic, trigonometric, exponential) to determine which function to differentiate, and using tabular integration for more complex integrals.

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