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Worksheets

Postes Integral Substitusi

Total questions: 5

Worksheet time: 5mins

Name
Class
Date
1.

 (2x+3)3dx=....\int\left(2x+3\right)^3dx=....  

a)

 18(2x+3)4+C\frac{1}{8}\left(2x+3\right)^4+C  

b)

 16(2x+3)4+C\frac{1}{6}\left(2x+3\right)^4+C  

c)

 16(2x3)4+C\frac{1}{6}\left(2x-3\right)^4+C  

d)

 18(2x3)4+C\frac{1}{8}\left(2x-3\right)^4+C  

e)

 18(2x+3)4+C-\frac{1}{8}\left(2x+3\right)^4+C  

2.

 2(45x)4dx=....\int\frac{2}{\left(4-5x\right)^4}dx=....  

a)

 215(45x)3+C\frac{2}{15\left(4-5x\right)^3}+C  

b)

 225(45x)5+C\frac{2}{25\left(4-5x\right)^5}+C  

c)

 215(45x)3+C-\frac{2}{15\left(4-5x\right)^3}+C  

d)

 225(45x)5+C-\frac{2}{25\left(4-5x\right)^5}+C  

e)

 115(45x)3+C\frac{1}{15\left(4-5x\right)^3}+C  

3.

 5x+2dx=....\int\sqrt{5x+2}dx=....  

a)

 215(5x+2)5x+2+C\frac{2}{15}\left(5x+2\right)\sqrt{5x+2}+C  

b)

 115(5x+2)5x+2+C\frac{1}{15}\left(5x+2\right)\sqrt{5x+2}+C  

c)

 215(5x+2)5x+2+C-\frac{2}{15}\left(5x+2\right)\sqrt{5x+2}+C  

d)

 115(5x+2)5x+2+C-\frac{1}{15}\left(5x+2\right)\sqrt{5x+2}+C  

e)

 15(5x+2)5x+2+C\frac{1}{5}\left(5x+2\right)\sqrt{5x+2}+C  

4.

 2x(x2+7)6dx=....\int2x\left(x^2+7\right)^6dx=....  

a)

 17(x2+7)7+C\frac{1}{7}\left(x^2+7\right)^7+C  

b)

 17(x+7)7+C\frac{1}{7}\left(x+7\right)^7+C  

c)

 17(x2+7)7+C-\frac{1}{7}\left(x^2+7\right)^7+C  

d)

 17(x+7)7+C-\frac{1}{7}\left(x+7\right)^7+C  

e)

 17(x27)7+C\frac{1}{7}\left(x^2-7\right)^7+C  

5.

 4x3x2dx=....\int4x\sqrt{3-x^2}dx=....  

a)

 43(3x2)3x2+C-\frac{4}{3}\left(3-x^2\right)\sqrt{3-x^2}+C  

b)

 43(3x2)3x2+C\frac{4}{3}\left(3-x^2\right)\sqrt{3-x^2}+C  

c)

 23(3x2)3x2+C-\frac{2}{3}\left(3-x^2\right)\sqrt{3-x^2}+C  

d)

 23(3x2)3x2+C\frac{2}{3}\left(3-x^2\right)\sqrt{3-x^2}+C  

e)

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