Problem 1048
Let \(\displaystyle f\) be continuous, \(\displaystyle g(x)=\begin{cases} c & \text{if $x< {a+b \over 2}$} \\ d & \text{if $x> {a+b\over 2}$} \\ e & \text{if $x={a+b\over 2}$}\end{cases}\). \(\displaystyle \int_a^b f\ dg=?\) Difficulty: 2. |
Problem 1049
Let \(\displaystyle f\) be continuous. \(\displaystyle \int_a^b f\ d[x]=?\) Difficulty: 2. |
Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government |