Why we can operate dx just like a real number in integration?
3360
Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio?
86407
Why is it differential equations exist on an interval instead of a domain?
12537
How to Integrate this function $\int(1-x^2)^ndx$
101647
Should I \mathrm the d in my integrals?
12010
Integration by partial fractions; how and why does it work?
154580
Is indefinite integration non-linear?
84413
Why is $\int_{-\infty}^\infty |g(x)|\,dx = \int_0^\infty \mu(\{x : |g(x)| \ge t\})\,dt$ true?
35794
Why does synthetic division work?
122579
How does knowing a function as even or odd help in integration ??
148556
Could you explain why $\frac{d}{dx} e^x = e^x$ "intuitively"?
40512
Usage of Assuming for Integration
128572
How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?
90780
Why does implicit differentiation work on non-functions?
74454
Sophomore's dream: $\int_0^{1} x^{-x} \; dx = \sum_{n=1}^\infty n^{-n}$
119700
Integrating real valued functions
43430
What exactly does $\frac{dx}{dy}$ mean?
24235
Is there a rule of integration that corresponds to the quotient rule?