Question:
Z následujících tvrzení vyberte všechna pravdivá. Všechny integrály uvažujeme na intervalu $(-\infty,0)$
Project ID:
7400220197
Answer 1:
$$
\int \frac1{1-2x} \mathrm{d}x = \ln |1-2x| +c
$$
Answer 1 Correct:
0
Answer 2:
$$
\int \frac1{1-2x} \mathrm{d}x = \ln \frac{1}{\sqrt{1-2x}} +c
$$
Answer 2 Correct:
1
Answer 3:
$$
\int \frac{2x}{x^2+5} \mathrm{d}x = \frac{x^2}{\frac{x^3}{3}+5x} +c
$$
Answer 3 Correct:
0
Answer 4:
$$
\int \frac{2x}{x^2+5} \mathrm{d}x = \ln(x^2+5) +c
$$
Answer 4 Correct:
1
Answer 5:
$$
\int \sin 2x \, \mathrm{d}x = -\frac{\cos 2x}{2} +c
$$
Answer 5 Correct:
1
Answer 6:
$$
\int \sin 2x \, \mathrm{d}x = \sin^2 x +c
$$
Answer 6 Correct:
1
Answer 7:
$$
\int |x| \mathrm{d}x =\frac{|x|^2}{2} +c
$$
Answer 7 Correct:
0
Answer 8:
$$ \int |x| \mathrm{d}x =-\frac{|x|^2}{2} +c $$
Answer 8 Correct:
1