Why does integration have to be the reverse operation of differentiation?
118929
Why is integration the inverse of differentiation
38935
What is integration by parts, really?
21775
When can a sum and integral be interchanged?
10366
Why do we not include $c$ in the computation of the definite integral?
124341
HeavisideTheta integration of derivative
131814
Integral with differential is purely imaginary
51940
Step-by-step example of reverse-mode automatic differentiation
66580
Integration vs numerical integration
49276
Why don't you need the Axiom of Choice when constructing the "inverse" of an injection?
70622
Why are integrals called integrals?
134122
When is differentiating an equation valid?
83610
Why does substitution work in antiderivatives?
101521
Both sides differentiation expression with integral
123911
Why is the derivative of a vector orthogonal to the vector itself?
4735
Proof for alternative definition of the derivative
119695
Understanding the relationship between differentiation and integration
83022
Proof of this fairly obscure differentiation trick?