Meaning of $\int_{a}^{b}dx$
104394
What does $\int_{a}^{b} f(x)$ mean?
75394
Why is the $dx$ right next to the integral sign in QFT literature?
54735
What is the closed form of $\int e^{x^2} \, dx$?
86811
Help understanding a concept in multiple integrals
18261
Prove $\int_{a}^{b}{f(x)dx}>0$.
52744
The value of a, b and c for this integral
7042
Defined integral of $x^{\alpha} (1-x)^{\beta-1}$
123892
What is $\int_{-\pi}^\pi \cos(nx)\cos(mx)\,dx$?
32657
What is the value of this Integration?
2776
What can be said about the integral part of $(a+\sqrt{b})^n $
133990
How prove this $\int_{a}^{b}f(x)dx=\frac{1}{2}(b-a)[f(a)+f(b)]-\frac{1}{12}(b-a)^3f''(\xi)$
158180
An inequality of $\int_0^1 |f(x)|dx$
66404
Prove that:$\int_{a}^{b} f(x) dx = b \cdot f(b) - a \cdot f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) dx$
58832
How prove this $\int_{a}^{b}[f''(x)]^2dx\ge\dfrac{4}{b-a}$
22864
Show that $\int_{a}^{b} |f|^2\le\frac{(b-a)^2}{2}\int_{a}^{b} |f'|^2$
131876
Show that $\int_{a}^{b}{x^{n}f(x)dx}=0$, then $f=0$
34398
Prove $\left| \int_a^b f(t) dt \right| \leq \int_a^b \left| f(t) \right| dt$