Integrating both sides of an equation with respect to different variables
95265
Why is it legitimate to solve the differential equation $\frac{dy}{dx}=\frac{y}{x}$ by taking $\int \frac{1}{y}\ dy=\int \frac{1}{x}\ dx$?
30382
Integrate full derivative
10790
Integration of a function with respect to another function.
149050
Multivariable Integral, How to compute it?
83488
Integrating $\ln x$ by parts
75903
Integrate not restricting variable with Assumptions option?
12010
Integration by partial fractions; how and why does it work?
105958
Solving a difference equation with several parameters
98678
Finding the following definite and indefinite integrals
123754
Equation System with 3 variables
108558
Find multiple solutions of a non-linear system with more variables that equations
31529
Integrating $\int^2_{-2}\frac{x^2}{1+5^x}$
27127
Calculating $\iint (x+y) \, dx \, dy$
107947
Constants of integration in integration by parts
17452
Is differentiating on both sides of an equation allowed?
86915
side-by-side equations, with equation numbers for each
124761
Solve for a vector in the equation