Undergrad Is there any good book to easy to self learn Integration?

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For those struggling with understanding integrals after learning differentiation, several resources are recommended for self-study. Key suggestions include "Calculus of One Variable" by Stewart for foundational knowledge and links to Physics Forums for structured insights on self-study in calculus and analysis. Additionally, utilizing video resources, particularly from Khan Academy, can enhance comprehension of integrals. Engaging with these materials can significantly aid in mastering integration concepts. Overall, a combination of books and online videos is advised for effective self-learning.
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I have learned differentiation (till multiple order differentiation). But I don't just understand integrals.
 
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Thanks for recommendation
 
I recommend you Calculus of one variable - Stewart
 
I would recommend watching some videos on the subject as well, if you get the chance. I would imagine that Khan Academy would have some quality posts about it.
 

Thread 'Proving that convexity implies second order derivative being positive'

There are probably loads of proofs of this online, but I do not want to cheat. Here is my attempt: Convexity says that $$f(\lambda a + (1-\lambda)b) \leq \lambda f(a) + (1-\lambda) f(b)$$ $$f(b + \lambda(a-b)) \leq f(b) + \lambda (f(a) - f(b))$$ We know from the intermediate value theorem that there exists a ##c \in (b,a)## such that $$\frac{f(a) - f(b)}{a-b} = f'(c).$$ Hence $$f(b + \lambda(a-b)) \leq f(b) + \lambda (a - b) f'(c))$$ $$\frac{f(b + \lambda(a-b)) - f(b)}{\lambda(a-b)}...
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