Question:
Z následujících tvrzení vyberte všechna pravdivá. Všechny integrály uvažujeme na intervalu $(0,+\infty)$
Project ID:
7400120197
Answer 1:
$$
\int \frac1{x} \mathrm{d}x = \ln 2x +c
$$
Answer 1 Correct:
1
Answer 2:
$$
\int \frac{1}{2x} \mathrm{d}x = \ln 2x +c
$$
Answer 2 Correct:
0
Answer 3:
$$
\int \sin 2x \, \mathrm{d}x = -\cos 2x +c
$$
Answer 3 Correct:
0
Answer 4:
$$
\int \sin 2x\, \mathrm{d}x = -\cos^2 x +c
$$
Answer 4 Correct:
1
Answer 5:
$$
\int \cos 2x \, \mathrm{d}x = \sin 2x +c
$$
Answer 5 Correct:
0
Answer 6:
$$
\int \cos 2x \, \mathrm{d}x = \sin x \cdot \cos x +c
$$
Answer 6 Correct:
1
Answer 7:
$$
\int \frac{1}{x^2} \mathrm{d}x = \ln(x^2) +c
$$
Answer 7 Correct:
0
Answer 8:
$$ \int \frac{1}{x^2} \mathrm{d}x =\frac{x-1}{x} +c $$
Answer 8 Correct:
1