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quiz 4.1 and 4.2

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

If y = x6 + C, dydx\frac{\text{d}y}{\text{d}x} = 6x5 . Find the integration of 6x5

a)

x6 + C

b)

x5 + C

c)

6x7 + C

d)

x6 - C

2.

If y = 2x4 + C, dydx\frac{\text{d}y}{\text{d}x} = 8x3. Find the integration of 8x3

a)

4x4 + C

b)

2x5 + C

c)

2x4 + C

d)

8x4 + C

3.

If y = 3x5 + C, dydx\frac{\text{d}y}{\text{d}x} = 15x4. Find the integration of 15x4

a)

15x5 + C

b)

3x5 + C

c)

3x6 + C

d)

5x5 + C

4.

If y = 4x3 + C, dydx\frac{\text{d}y}{\text{d}x} = 12x2. Find the integration of 12x2

a)

4x3 + C

b)

4x4 + C

c)

6x3 + C

d)

12x3 + C

5.

∫x4dx\int x^4dx

a)

x55+C\frac{x^5}{5}+C

b)

x510+C\frac{x^5}{10}+C

c)

x66+C\frac{x^6}{6}+C

d)

x44+C\frac{x^4}{4}+C

6.

∫5x3dx\int 5x^3dx

a)

5x66+C\frac{5x^6}{6}+C

b)

5x22+C\frac{5x^2}{2}+C

c)

5x55+C\frac{5x^5}{5}+C

d)

5x44+C\frac{5x^4}{4}+C

7.

∫3x2dx\int 3x^2dx

a)

3x44+C\frac{3x^4}{4}+C

b)

3x3+C3x^3 + C

c)

3x22+C\frac{3x^2}{2}+C

d)

3x33+C\frac{3x^3}{3}+C

8.

∫4x3dx\int 4x^3dx

a)

4x4+C4x^4 + C

b)

4x44+C\frac{4x^4}{4}+C

c)

4x33+C\frac{4x^3}{3}+C

d)

4x55+C\frac{4x^5}{5}+C

9.

∫(3x4+x7−6)dx\int\left(3x^4+x^7-6\right)dx

a)

35x5+18x8−5x+c\frac{3}{5}x^5+\frac{1}{8}x^8-5x+c

b)

35x5+14x8−6x+C\frac{3}{5}x^5+\frac{1}{4}x^8-6x+C

c)

35x5+18x8−6x+C\frac{3}{5}x^5+\frac{1}{8}x^8-6x+C

d)

15x5+14x8−6x+C\frac{1}{5}x^5+\frac{1}{4}x^8-6x+C +

10.

∫7x2dx\int 7x^2dx

a)

7x3+C7x^3 + C

b)

7x33+C\frac{7x^3}{3}+C

c)

7x44+C\frac{7x^4}{4}+C

d)

7x22+C\frac{7x^2}{2}+C