11th
grade

Mathematics

52%

accuracy

733

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Shelly Pamora Shelly

4 years

Mathematics

11th

grade

Integral

Shelly Pamora Shelly

733
plays

10 questions

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1. Multiple Choice
20 seconds
1 pt
$\int_{ }^{ }\sqrt{x^5}\ dx\ =\ ...$
$\frac{2}{7}x^{3\ }\sqrt{x}+\ C$
$\frac{2}{5}x^3\sqrt{x}\ +\ C$
$\sqrt{5x^4}\ +\ C$
$\sqrt{\frac{1}{6}x^6}\ +\ C$
$5x^{4\ }+\ C$
2. Multiple Choice
20 seconds
1 pt
Hasil dari $\int^{ }\left(2x+3\right)^2\ dx\ =\ ...$
$\frac{4}{3}x^3-3x^2+9x+c$
$\ \frac{4}{3}x^3+3x^2+9x\ +\ c$
$\frac{4}{3}x^3-6x^2-9x+c\$
$\frac{4}{3}x^3+6x^2+9x+c$
$\frac{3}{4}x^3+6x^2-9x+c$
3. Multiple Choice
20 seconds
1 pt
$\int\left(\frac{4}{5}x^3-\ 4x^2+\frac{4}{x^2}-7\right)dx\ =\ ...$
$\frac{1}{5}x^4-\frac{4}{3}x^3-4x^{-1}-7x\ +\ c$
$\frac{1}{5}x^4-\frac{4}{3}x^3+4x^{-1}-7x+c$
$\frac{1}{5}x^4-\frac{4}{3}x^3-4x^{-1}-7+c$
$\frac{1}{5}x^4-8x^3-\frac{4}{3}x^2-7x+c$
$\frac{12}{5}x^4-8x^3-4x^{-1}-7x+c$
4. Multiple Choice
20 seconds
1 pt
$\int6x\left(3x^2+5\right)^{5\ }dx\ =\ ...$
$\frac{1}{3}\left(3x^2+5\right)^5+\ c$
$\frac{2}{3}\left(3x^2+5\right)^{5\ }+\ c$
$\frac{1}{6}\left(3x^2+5\right)^6+\ c$
$\frac{1}{3}\left(3x^2+5\right)^6+\ c$
$\frac{2}{3}\left(3x^2+5\right)^6+\ c$
5. Multiple Choice
20 seconds
1 pt
Jika $f'\left(x\right)=\ 3x^2-6x+2\$ dan $f\left(1\right)=4,\$ maka $f\left(x\right)\$ adalah ...
$x^3-3x^2+3x+4$
$x^3-3x^2+2x+4$
$x^3-3x^2+x+4$
$x^3-3x^2+2x-4$
$x^3-3x^2+3x-7$
6. Multiple Choice
20 seconds
1 pt
Nilai dari $\int_2^3\ \left(6x^2-2x+7\right)\ dx\$ adalah ...
32
34
36
38
40
7. Multiple Choice
20 seconds
1 pt
$\int_1^a\left(2x-1\right)dx\ =\ 6\$ . Nilai a = ...
4
3
2
1
0
8. Multiple Choice
20 seconds
1 pt
Luas daerah yang dibatasi kurva parabola $y\ =\ x^2\ +\ x\ -6\$ dan garis $y\ =\ 3x+2$ adalah ... satuan luas
40
38
36
34
32
9. Multiple Choice
30 seconds
1 pt
Luas daerah yang dibatasi oleh kurva parabola $y=x^2-7x+1\$ dan $y=\ -3x-2$ serta dibatasi garis x = 1 dan x = 3 adalah ...
$2\ \frac{1}{2}$
$2\ \frac{1}{3}$
$1\ \frac{1}{2}$
$1\ \frac{1}{3}$
$\frac{1}{2}$
10. Multiple Choice
30 seconds
1 pt
Volume benda putar yang dihasilkan dari daerah yang dibatasi oleh kurva $y=\ 2-3x\ ,\ x=\ 1,\ x\ =\ 3\$ dan sumbu X jika di putar mengelilingi sumbu X sejauh $360^0$ adalah ... satuan volume
$157\pi$
$108\pi$
$78\pi$
$39\pi$
$38\pi$
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