TEST 32
1.
\(\displaystyle\int\limits_{-5}^{8} \operatorname{sgn}(x)\,dx=?\)
A) \(2\)B) \(3\)C) \(4\)D) \(5\)E) \(6\)
2.
\(\displaystyle\int\limits_{-7}^{10} \operatorname{sgn}(x^2-4)\,dx=?\)
A) \(12\)B) \(11\)C) \(10\)D) \(9\)E) \(8\)
3.
\(\displaystyle\int\limits_{0}^{5} \operatorname{sgn}(x^2-4x+3)\,dx=?\)
A) \(1\)B) \(2\)C) \(3\)D) \(4\)E) \(5\)
4.
\(\displaystyle\int\limits_{\samefrac{\pi}{2}}^{2\pi} \sin x\cdot\operatorname{sgn}(\cos x)\,dx=?\)
A) \(2\)B) \(1\)C) \(0\)D) \(-1\)E) \(-2\)
5.
\(\displaystyle\int\limits_{0}^{5} \left[\!\left[ x\right]\!\right]\,dx=?\)
A) \(15\)B) \(10\)C) \(5\)D) \(4\)E) \(2\)
6.
\(\displaystyle\int\limits_{0}^{10} \left[\!\left[\samefrac x2+1\right]\!\right]\,dx=?\)
A) \(20\)B) \(25\)C) \(30\)D) \(35\)E) \(40\)
7.
\(\displaystyle\int\limits_{4}^{25} \left[\!\left[\sqrt x\right]\!\right]\,dx=?\)
A) \(67\)B) \(68\)C) \(69\)D) \(70\)E) \(71\)
8.
\(\displaystyle\int\limits_{3}^{30} \left[\!\left[\log_3x\right]\!\right]\,dx=?\)
A) \(45\)B) \(48\)C) \(49\)D) \(50\)E) \(51\)