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Worksheets

PAS Matematika Kelas XII

Total questions: 25

Worksheet time: 23mins

Name
Class
Date
1.

∫ 2x3 dx =

a)

1 / 2 x4 + c

b)

x4+c

c)

x2+x+c

d)

x+c

2.

∫ 8x3 - 3x2 + x + 5 dx=

a)

2x4+3x3+c

b)

3x2+c

c)

4x2+ x+c

d)

2x4 - x3 + 1 2 x2 + 5x + c

3.

∫ (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

4.

(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  

5.

Nilai dari  23 (6x22x+7) dx \int_2^3\ \left(6x^2-2x+7\right)\ dx\  adalah ...

a)

32

b)

34

c)

36

d)

38

e)

40

6.
  ∫₁³ 5x² dx
a)
a. 43
b)
b. 130/3
c)
c. 40
d)
d. 19/3
7.
a)

54

b)

-54

c)

27

d)

-27

e)

0

8.

What is the value of the definite integral : 23 3x2 dx\int_{-2}^3\ 3x^2\ dx  ?

a)

15

b)

19

c)

29

d)

35

9.

 32x5dx = ...\int_{ }^{ }\ \frac{3}{2x^5}dx\ =\ ...  

a)

32x6+c-\frac{3}{2x^6}+c  

b)

32x4+c\frac{3}{2x^4}+c  

c)

38x3+c\frac{3}{8x^3}+c  

d)

38x4+c-\frac{3}{8x^4}+c  

10.

(6x2+10x7)dx = ...\int_{ }^{ }\left(6x^2+10x-7\right)dx\ =\ ...  

a)

2x3+5x27x+c2x^3+5x^2-7x+c  

b)

3x2+5x7x+c3x^2+5x-7x+c  

c)

2x3+5x27+c2x^3+5x^2-7+c  

d)

2x3+10x7+c2x^3+10x-7+c  

11.

x2dx\int x^2dx  

a)

12x2+C\frac{1}{2}x^2+C  

b)

13x3+C\frac{1}{3}x^3+C  

c)

12x3+C\frac{1}{2}x^3+C  

d)

3x3+C3x^3+C  

12.

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  

13.

(x2+x) dx=....\int_{ }^{ }\left(x^2+x\right)\ dx=....  

a)

13x3+12x2+c\frac{1}{3}x^3+\frac{1}{2}x^2+c  

b)

x3+x2+cx^3+x^2+c  

c)

12x3+x2+c\frac{1}{2}x^3+x^2+c  

d)

13x3+x2+c\frac{1}{3}x^3+x^2+c  

e)

2x+12x+1  

14.

(9x24x+5)dx =....\int\left(9x^2-4x+5\right)dx\ =....  

a)

13x32x2+5x+c\frac{1}{3}x^3-2x^2+5x+c  

b)

3x3-2x2+5x+C

c)

3x3+2x2+5x+C

d)

18x3-2x2+5x+C

e)

18x3+2x2+5x+C

15.

5x4 dx\int_{ }^{ }5x^4\ dx  =....

a)

x5+Cx^5+C  

b)

x3 +Cx^3\ +C  

c)

2x4 +C2x^4\ +C  

d)

2x3 +C2x^3\ +C  

e)

4x5 + C4x^{5\ }+\ C  

16.

nilai dari  126x2dx\int_1^26x^2dx  adalah...

(a)  

17.

Nilai 12(6x22x3)dx=\int_1^2\left(6x^2-2x-3\right)dx=  ...

a)

4

b)

5

c)

8

d)

9

e)

10

18.

21 6x2dx=....\int_{-2}^1\ 6x^2dx=....  

a)

1212  

b)

1616  

c)

1818  

d)

2020  

e)

2424  

19.

(6x2+10x7)dx = ...\int_{ }^{ }\left(6x^2+10x-7\right)dx\ =\ ...  

a)

2x3+5x27x+c2x^3+5x^2-7x+c  

b)

3x2+5x7x+c3x^2+5x-7x+c  

c)

2x3+5x27+c2x^3+5x^2-7+c  

d)

2x3+10x7+c2x^3+10x-7+c  

20.

 32x5dx = ...\int_{ }^{ }\ \frac{3}{2x^5}dx\ =\ ...  

a)

32x6+c-\frac{3}{2x^6}+c  

b)

32x4+c\frac{3}{2x^4}+c  

c)

38x3+c\frac{3}{8x^3}+c  

d)

38x4+c-\frac{3}{8x^4}+c  

21.

(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  

22.

 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  

23.

xx21 dx = ...\int_{ }^{ }x\sqrt{x^2-1}\ dx\ =\ ...  

a)

x3(x21)32+c\frac{x}{3}\left(x^2-1\right)^{\frac{3}{2}}+c  

b)

13(x21)23+c\frac{1}{3}\left(x^2-1\right)^{\frac{2}{3}}+c  

c)

13(x21)32+c\frac{1}{3}\left(x^2-1\right)^{\frac{3}{2}}+c  

d)

x3(x21)23+c\frac{x}{3}\left(x^2-1\right)^{\frac{2}{3}}+c  

24.

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  

25.

3x(x2+5)3 dx = ...\int_{ }^{ }3x\sqrt{\left(x^2+5\right)^3}\ dx\ =\ ...  

a)

13(x2+5)x2+5+c\frac{1}{3}\left(x^2+5\right)\sqrt{x^2+5}+c  

b)

3(x2+5)52+c3\left(x^2+5\right)^{\frac{5}{2}}+c  

c)

15(x2+5)52+c\frac{1}{5}\left(x^2+5\right)^{\frac{5}{2}}+c  

d)

35(x2+5)2x2+5+c\frac{3}{5}\left(x^2+5\right)^2\sqrt{x^2+5}+c