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Recall Integration Techniques

Total questions: 6

Worksheet time: 4mins

Name
Class
Date
1.

Find x8 dx\int_{ }^{ }x^8\ dx

a)

8x78x^7 +c

b)

8x98x^9 +c

c)

x99\frac{x^9}{9} +c

d)

x77\frac{x^7}{7} +c

2.

Find (3x+1)8 dx\int_{ }^{ }\left(3x+1\right)^8\ dx

a)

8(3x+1)7+c8\left(3x+1\right)^7+c

b)

(3x+1)927+c\frac{\left(3x+1\right)^9}{27}+c

c)

(3x+1)99+c\frac{\left(3x+1\right)^9}{9}+c

d)

3(3x+1)99+c\frac{3\left(3x+1\right)^9}{9}+c

3.

Find x1 dx\int_{ }^{ }x^{-1}\ dx .

a)

x00+c\frac{x^0}{0}+c

b)

x2+c-x^{-2}+c

c)

x1+cx^{-1}+c

d)

ln(x) + c

4.

Find 15x+1dx\int_{ }^{ }\frac{1}{5x+1}dx .

a)

ln(5x+1)5+c\frac{\ln\left(5x+1\right)}{5}+c

b)

ln(5x+1)+c\ln\left(5x+1\right)+c

c)

(5x+1)1+c\left(5x+1\right)^{-1}+c

d)

(5x+1)2+c-\left(5x+1\right)^{-2}+c

5.

Find e(18x)dx\int_{ }^{ }e^{\left(1-8x\right)}dx

a)

e(18x)+ce^{\left(1-8x\right)}+c

b)

8e(18x)+c-8e^{\left(1-8x\right)}+c

c)

e(18x)8+c\frac{e^{\left(1-8x\right)}}{-8}+c

d)

e(28x)28x+c\frac{e^{\left(2-8x\right)}}{2-8x}+c

6.

How are you feeling about Sem 2 regarding H1 Math?

(a)