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Worksheets

Integral

Total questions: 13

Worksheet time: 7mins

Name
Class
Date
1.

 (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  

2.

 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  

3.

 (6x2+10x)dx=....\int\left(6x^2+10x\right)dx=....  

a)

 2x3+5x2+c2x^3+5x^2+c  

b)

 3x3+5x2+c3x^3+5x^2+c  

c)

 2x3+10x2+c2x^3+10x^2+c  

d)

 2x35x2+c2x^3-5x^2+c  

4.

 04(2x3)dx=....\int_0^4\left(2x-3\right)dx=....  

a)

13

b)

4

c)

-4

d)

5

5.

(5x4+3x32x)dx=....\int\left(5x^4+3x^3-2x\right)dx=....  

a)

x5+34x4x2+cx^5+\frac{3}{4}x^4-x^2+c  

b)

x5+34x423x3+cx^5+\frac{3}{4}x^4-\frac{2}{3}x^3+c  

c)

55x5+34x42x2+c\frac{5}{5}x^5+\frac{3}{4}x^4-2x^2+c  

d)

55x5+34x4+c\frac{5}{5}x^5+\frac{3}{4}x^4+c  

6.

13(3x22x+1)dx=....\int_1^3\left(3x^2-2x+1\right)dx=....  

a)

10

b)

8

c)

6

d)

4

7.

25(4x23x+2)dx=....\int_2^5\left(4x^2-3x+2\right)dx=....  

a)

20

b)

18

c)

16

d)

14

8.

14(5x34x2+2)dx=....\int_1^4\left(5x^3-4x^2+2\right)dx=....  

a)

26

b)

30

c)

24

d)

28

9.

02(3x2+2x1)dx=....\int_0^2\left(3x^2+2x-1\right)dx=....  

a)

8

b)

6

c)

4

d)

2

10.

(7x55x3+4x)dx=....\int\left(7x^5-5x^3+4x\right)dx=....  

a)

76x654x4+c\frac{7}{6}x^6-\frac{5}{4}x^4+c  

b)

76x654x4+2x2+c\frac{7}{6}x^6-\frac{5}{4}x^4+2x^2+c  

c)

76x65x4+c\frac{7}{6}x^6-5x^4+c  

d)

x654x4+2x2+cx^6-\frac{5}{4}x^4+2x^2+c  

11.

(8x34x2+5)dx=....\int\left(8x^3-4x^2+5\right)dx=....  

a)

2x443x3+5x+c2x^4-\frac{4}{3}x^3+5x+c  

b)

2x443x3+5x2+c2x^4-\frac{4}{3}x^3+5x^2+c  

c)

2x443x3+5x23+c2x^4-\frac{4}{3}x^3+5x^2-3+c  

d)

2x443x3+5+c2x^4-\frac{4}{3}x^3+5+c  

12.

(9x26x+1)dx=....\int\left(9x^2-6x+1\right)dx=....  

a)

3x33x2+1+c3x^3-3x^2+1+c  

b)

3x33x2+13x+c3x^3-3x^2+\frac{1}{3}x+c  

c)

3x33x2+12x+c3x^3-3x^2+\frac{1}{2}x+c  

d)

3x33x2+x+c3x^3-3x^2+x+c  

13.

03(5x22x+1)dx=....\int_0^3\left(5x^2-2x+1\right)dx=....  

a)

18

b)

16

c)

20

d)

14