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INTEGRATION 2.0

Total questions: 10

Worksheet time: 1hrs 10mins

Name
Class
Date
1.
a)

x3+x22x+c-x^3+x^2-2x+c

b)

x3+x2+2x+cx^3+x^2+2x+c

c)

x32x2+10x+c-x^3-2x^2+10x+c

d)

x3+2x210x+cx^3+2x^2-10x+c

2.
a)

2x1x+c2x-\frac{1}{x}+c

b)

2x21x2+c2x^2-\frac{1}{x^2}+c

c)

2x31x3+c2x^3-\frac{1}{x^3}+c

d)

2x41x4+c2x^4-\frac{1}{x^4}+c

3.
a)

y=x4x28y=x^4-x^2-8

b)

y=x42x28y=x^4-2x^2-8

c)

y=x43x28y=x^4-3x^2-8

d)

y=x44x28y=x^4-4x^2-8

4.
a)

y=x32x28y=x^3-2x^2-8

b)

y=x33x210y=x^3-3x^2-10

c)

y=x34x212y=x^3-4x^2-12

d)

y=x35x214y=x^3-5x^2-14

5.
a)

13\frac{1}{3}

b)

1131\frac{1}{3}

c)

2132\frac{1}{3}

d)

3133\frac{1}{3}

6.
a)

k=14k=\frac{1}{4}

b)

k=13k=\frac{1}{3}

c)

k=12k=\frac{1}{2}

d)

k=15k=\frac{1}{5}

7.
a)

13\frac{1}{3}

b)

1131\frac{1}{3}

c)

2132\frac{1}{3}

d)

3133\frac{1}{3}

8.
a)

k=1k=1

b)

k=2k=2

c)

k=3k=3

d)

k=4k=4

9.
a)

16π16\pi

b)

18π18\pi

c)

20π20\pi

d)

22π22\pi

10.
a)

615π6\frac{1}{5}\pi

b)

625π6\frac{2}{5}\pi

c)

635π6\frac{3}{5}\pi

d)

645π6\frac{4}{5}\pi