Problem 945
\(\displaystyle \int_0^3 x\cdot [x]\ \dx\) Difficulty: 3. |
Problem 943
\(\displaystyle a)\ \int_0^1 {1\over \tg x +1}\dx=? \qquad\qquad b)\ \int_0^1 x\ \arctg x \dx=? \) Difficulty: 4. |
Problem 944
\(\displaystyle \int_0^{2\pi} {1\over 2+\cos x}\dx =? \) Difficulty: 4. |
Problem 976
\(\displaystyle \lim_{0+} { \int_0^{\sin x} \sqrt{\tg t} \dt \over \int_0^{\tg x} \sqrt{\sin t}\ \dx}=?\) Difficulty: 5. |
Problem 975
\(\displaystyle \int_{0.1}^{0.2} \root{\log \ch \sin x}\of{1+\sh^2\sin x}\ \dx =?\) Difficulty: 6. |
Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government |