How exactly are definite integrals calulated and what is the connection between definite and indefinite integrals?
46482
Why does the fundamental theorem of calculus work?
102639
How to receive the result of the integral $ \int\frac{1}{x}dx$ is $\ln|x|$?
64937
What is the difference between a Summation and an Integration?
114463
Indefinite Multiple Integration
128572
How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?
115089
Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$
83860
What does it mean to integrate with respect to the distribution function?
1626
How do we prove $\int_I\int_x^1\frac{1}{t}f(t)\text{ dt}\text{ dx}=\int_If(x)\text{ dx}$
110113
Definite and Indefinite integral give different results for piecewise function
47779
Why does this integral have a complex component?
118929
Why is integration the inverse of differentiation
141503
Need help calculating a definite integral
148613
Integrate $\int_{0}^{1}{x^{-x}(1-x)^{x-1}\sin{\pi x}dx}$
141685
Why is expectation defined by $\int xf(x)dx$?
21779
How to do symbolic definite integral without copy and paste the intermediate results?
67629
How to evaluate these indefinite integrals with $\sqrt{1+x^4}$?
1516
How did you prove this integral?