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Worksheets

Pengganti akhir bab

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
a)
b)

3x3-2x2+5x+C

c)

3x3+2x2+5x+C

d)

18x3-2x2+5x+C

e)

18x3+2x2+5x+C

2.

4x3+6x2+10 =...\int_{ }^{ }4x^3+6x^2+10\ =...  

a)

x4+3x3+10 +cx^4+3x_{ }^3+10\ +c  

b)

x4+2x3+10x +cx^4+2x^3+10x\ +c  

c)

12x3+12x2+10 +c12x^3+12x^2+10\ +c  

d)

x4+3x3+10x+cx^4+3x^3+10x+c  

e)

14x4+2x3+10+c\frac{1}{4}x^4+2x^{3^{ }}+10+c  

3.

 x(12x2)6 dx = ...\int_{ }^{ }\ \frac{x}{\left(1-2x^2\right)^6}\ dx^{\ }=\ ...  

a)

120(12x2)5+c-\frac{1}{20\left(1-2x^2\right)^5}+c  

b)

120(12x2)5+c\frac{1}{20\left(1-2x^2\right)^5}+c  

c)

15(12x2)5+c-\frac{1}{5\left(1-2x^2\right)^5}+c  

d)

15(12x2)5+c\frac{1}{5\left(1-2x^2\right)^5}+c  

4.

(2x5)6dx = ...\int_{ }^{ }\left(2x-5\right)^6dx\ =\ ...  

a)

17(2x5)7+c\frac{1}{7}\left(2x-5\right)^7+c  

b)

(2x5)7+c\left(2x-5\right)^7+c  

c)

114(2x5)7+c\frac{1}{14}\left(2x-5\right)^7+c  

d)

27(2x5)7+c\frac{2}{7}\left(2x-5\right)^7+c  

5.

2x3(x41)3 dx =...\int_{ }^{ }2x^3\left(x^4-1\right)^3\ dx\ =...  

a)

12(x41)4+c\frac{1}{2}\left(x^4-1\right)^4+c  

b)

14(x41)4+c\frac{1}{4}\left(x^4-1\right)^4+c  

c)

16(x41)4+c-\frac{1}{6}\left(x^4-1\right)^4+c  

d)

18(x41)4+c\frac{1}{8}\left(x^4-1\right)^4+c  

6.

2x(x+1)5 dx = ...\int_{ }^{ }2x\left(x+1\right)^5\ dx\ =\ ...  

a)

118(5x1)(x+1)5+c\frac{1}{18}\left(5x-1\right)\left(x+1\right)^5+c  

b)

121(6x1)(x+1)6+c\frac{1}{21}\left(6x-1\right)\left(x+1\right)^6+c  

c)

13x(x+1)6+c\frac{1}{3}x\left(x+1\right)^6+c  

d)

112(3x1)(x+1)5+c\frac{1}{12}\left(3x-1\right)\left(x+1\right)^5+c  

7.

(45x3 4x2+4x27)dx = ...\int\left(\frac{4}{5}x^3-\ 4x^2+\frac{4}{x^2}-7\right)dx\ =\ ...  

a)

15x443x34x17x + c\frac{1}{5}x^4-\frac{4}{3}x^3-4x^{-1}-7x\ +\ c  

b)

15x443x3+4x17x+c\frac{1}{5}x^4-\frac{4}{3}x^3+4x^{-1}-7x+c  

c)

15x443x34x17+c\frac{1}{5}x^4-\frac{4}{3}x^3-4x^{-1}-7+c  

d)

15x48x343x27x+c\frac{1}{5}x^4-8x^3-\frac{4}{3}x^2-7x+c  

e)

125x48x34x17x+c\frac{12}{5}x^4-8x^3-4x^{-1}-7x+c  

8.

4x2dx\int4x^2dx  

a)

43x3+C\frac{4}{3}x^3+C  

b)

42x2+C\frac{4}{2}x^2+C  

c)

2x3+C2x^3+C  

d)

42x3+C\frac{4}{2}x^3+C  

9.

(4x312x2+7x3)dx=....\int\left(4x^3-12x^2+7x-3\right)dx=....  

a)

2x43x3+7x23x+c2x^4-3x^3+7x^2-3x+c  

b)

x43x3+72x23x+cx^4-3x^3+\frac{7}{2}x^2-3x+c  

c)

x44x3+72x23x+cx^4-4x^3+\frac{7}{2}x^2-3x+c  

d)

12x43x3+72x23x+c\frac{1}{2}x^4-3x^3+\frac{7}{2}x^2-3x+c  

10.

x5dx=....\int\sqrt{x^5}dx=....  

a)

72x7+c\frac{7}{2}\sqrt{x^7}+c  

b)

27x7+c\frac{2}{7}\sqrt{x^7}+c  

c)

72x7+c\frac{7}{2\sqrt{x^7}}+c  

d)

27x7+c\frac{2}{7\sqrt{x^7}}+c  

11.
a)
b)
c)
d)
e)
12.

∫ (2x + 1)(x - 5) dx=

a)

x3+x2+x+c

b)

2 / 3 x3 + 9 / 2 x2 - 5x + c

c)

1 / 3 x4+ 1 / 2 x +c

d)

x2+c

13.

(45x3)dx = ...\int\left(\frac{4}{5}x^3\right)dx\ =\ ...  

a)

15x4+ C\frac{1}{5}x^4+\ C  

b)

165x4+C\frac{16}{5}x^4+C  

c)

415x3+C\frac{4}{15}x^3+C  

d)

115x3+C\frac{1}{15}x^3+C  

14.

x3+2x25x+3 dx=\int_{ }^{ }x^3+2x^2-5x+3\ dx=  

a)

13x4+23x352x2+3x+c\frac{1}{3}x^4+\frac{2}{3}x^3-\frac{5}{2}x^2+3x+c  

b)

14x4+2x352x2+3x+c\frac{1}{4}x^4+2x^3-\frac{5}{2}x^2+3x+c  

c)

14x4+23x35x2+3x+c\frac{1}{4}x^4+\frac{2}{3}x^3-5x^2+3x+c  

d)

14x4+2x35x2+3x+c\frac{1}{4}x^4+2x^3-5x^2+3x+c  

e)

14x4+23x352x2+3x+c\frac{1}{4}x^4+\frac{2}{3}x^3-\frac{5}{2}x^2+3x+c  

15.

3x2.x35dx\int_{ }^{ }3x^2.\sqrt[5]{x^3}dx  

a)

545x3.x35\frac{54}{5}x^3.\sqrt[5]{x^3}  

b)

1513x3.x35\frac{15}{13}x^3.\sqrt[5]{x^3}  

c)

56x3.x35\frac{5}{6}x^3.\sqrt[5]{x^3}  

d)

395x3.x35\frac{39}{5}x^3.\sqrt[5]{x^3}  

e)

1513x3.x35\frac{15}{13}x^3.\sqrt[5]{x^3}  

16.

(x12x13)dx=....\int_{ }^{ }\left(x^{\frac{1}{2}}-x^{\frac{1}{3}}\right)dx=....  

a)

x32x43+cx^{\frac{3}{2}}-x^{\frac{4}{3}}+c  

b)

32x3243x43+c\frac{3}{2}x^{\frac{3}{2}}-\frac{4}{3}x^{\frac{4}{3}}+c  

c)

23x3234x43+c\frac{2}{3}x^{\frac{3}{2}}-\frac{3}{4}x^{\frac{4}{3}}+c  

d)

13x3214x43+c\frac{1}{3}x^{\frac{3}{2}}-\frac{1}{4}x^{\frac{4}{3}}+c  

e)

12x3213x43+c\frac{1}{2}x^{\frac{3}{2}}-\frac{1}{3}x^{\frac{4}{3}}+c  

17.

istilah lain dari integral adalah . . .

a)

anti hujan

b)

anti kemapanan

c)

anti turunan

d)

anti tanjakan

18.

Integral adalah invers (kebalikan) dari . . .

a)

Limit

b)

Turunan

c)

Matriks

d)

Logaritma

e)

Program Linier

19.

 x43x2dx=....\int_{ }^{ }\ \frac{x^4-3}{x^2}dx=....  

a)

13x3+3x+c\frac{1}{3}x^3+\frac{3}{x}+c  

b)

13x33x+c\frac{1}{3}x^3-\frac{3}{x}+c  

c)

13x33x2+c\frac{1}{3}x^3-\frac{3}{x^2}+c  

d)

13x33x2+c\frac{1}{3}x^3-\frac{3}{x^2}+c  

e)

13x33x2+c\frac{1}{3}x^3-3x^2+c  

20.

Hasil dari axn+1 dx\int ax^{n+1}\ dx  adalah...

a)

axn+1 +Cax^{n+1}\ +C  

b)

an+1 xn1 +C\frac{a}{n+1}\ x^{n-1}\ +C  

c)

an+1 xn+1 +C\frac{a}{n+1}\ x^{n+1}\ +C  

d)

an+2 xn2 +C\frac{a}{n+2}\ x^{n-2}\ +C  

e)

an+2 xn+2 +C\frac{a}{n+2}\ x^{n+2}\ +C