INDEFINITE INTEGRAL OF RATIONAL FUNCTIONS WORKSHEET

Problem 1 :

213x2 - 1 dx

Solution

Problem 2 :

-1-2u - 1u2 du

Solution

Problem 3 :

41 u - 2u du

Solution

Problem 4 :

812x dx

Solution

Problem 5 :

10 x - x 3 dx

Solution

Problem 6 :

-1-8 x - x2 2∛x dx

Solution

Problem 7 :

𝜋40 1 - sin2𝜃cos2𝜃 d𝜃

Solution

Problem 8 :

e12x + 1x dx

Solution

Problem 9 :

51 x + 1x dx

Solution

Problem 10 :

2eecos x - 1x dx

Solution

Answer Key

1)  1/2

2)  -2

3)  2/3

4)  2(4 - √2)

5) -1/18

6)  -53/3

7)  𝜋/4

8)  e2

9)  4 + ln 5

10)  sin 2e - sin e - In 2

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