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Worksheets

apaini

Total questions: 9

Worksheet time: 10mins

Name
Class
Date
1.

 (2x+5)3dx\int_{ }\left(2x+5\right)^3dx  

a)

 (2x+5)48\frac{\left(2x+5\right)^4}{8}  

b)

 (2x+5)48+c\frac{\left(2x+5\right)^4}{8}+c  

c)

 (2x5)48+c\frac{\left(2x-5\right)^4}{8}+c  

d)

 (2x+5)38+c\frac{\left(2x+5\right)^3}{8}+c  

2.

Given that R is the area bounded by the curve  y2=12(3x)y^2=12\left(3-x\right)   and the axes in the first quadrant. Find the volume of the solid of revolution obtained by revolving the region R about the  xaxis.x-axis.  

a)

 52π52\pi  

b)

 53π53\pi  

c)

 54π54\pi  

d)

 55π55\pi  

3.

Find the area of the region bounded by the curves  y=x25xy=x^2-5x    and  y=25x2y=25-x^2  .

a)

 140 68140\ \frac{6}{8}  

b)

 11258\frac{1125}{8}  

c)

 140140  

d)

 11208\frac{1120}{8}  

4.

Find the area of the region bounded by the graphs of y = x2 and y = 4x.

Cari luas kawasan yang dibatasi oleh graf y = x2 dan y = 4x.

a)

32/3

b)

64/3

c)

32

d)

64

e)

32/5

5.

 03(3x24x)dx=\int_0^3\left(3x^2-4x\right)dx=  

a)

9

b)

15

c)

16

d)

14

6.

Find the area under the curve

Cari luas kawasan berlorek

a)

1/3

b)

3

c)

2/3

d)

4/3

7.

 13f(x) dx\int_1^3f\left(x\right)\ dx   is

a)

Positive

b)

Negative

c)

0

d)

Cannot be determined

8.

 01f(x)dx \int_0^1f\left(x\right)dx\   is

a)

Positive

b)

Negative

c)

0

d)

Cannot be determined

9.

 x3+4x2 dx\int x^3+4x-2\ dx  

a)

 x44+4+c\frac{x^4}{4}+4+c  

b)

 x44+2x+c\frac{x^4}{4}+2x+c  

c)

 x44+2x22x+c\frac{x^4}{4}+2x^2-2x+c  

d)

 x44+42x+c\frac{x^4}{4}+4-2x+c