Integration III - Normal

Question 1: Find the antiderivative of the function

f (x) = x^{5} - x^{2}

A

F (x) = \frac{x^{6}}{6} - \frac{x^{3}}{3}

B

F (x) = x^{6} - x^{3} + C

C

F (x) = x^{5} - x^{2} + C

D

F (x) = \frac{x^{6}}{6} - \frac{x^{3}}{3} + C

Question 2: Find the antiderivative of the function

f (x) = \frac{1}{2 x}

A

F (x) = \ln | x | + C

B

F (x) = \frac{\ln | x |}{2}

C

F (x) = \frac{1}{2 x} + C

D

F (x) = \frac{\ln | x |}{2} + C

Question 3: Find the antiderivative of the function

f (x) = 20

A

F (x) = 20 x

B

F (x) = C

C

F (x) = 20 x + C

D

F (x) = 0

Question 4: Find the antiderivative of the function

f (x) = \cos (x)

A

F (x) = \cos (x) + C

B

F (x) = - \cos (x) + C

C

F (x) = \sin (x) + C

D

F (x) = - \sin (x) + C

Question 5: Find the antiderivative of the function

f (x) = 7^{x} - 1

A

F (x) = \frac{7^{x}}{\ln (7)} + x + C

B

F (x) = \frac{7^{x}}{\ln (7)} - x + C

C

F (x) = 7^{x} - x + C

D

F (x) = \frac{7^{x}}{\ln (7)} - x

Question 6: Calculate

\int_{0}^{1} (x^{15}) d x

A

\frac{1}{16}

B

16

C

15

D

\frac{1}{15}

Question 7: Calculate

\int_{- \frac{π}{2}}^{\frac{π}{2}} (5 \cos (x)) d x

A

10

B

20

C

- 10

D

5

Question 8: Calculate

\int_{1}^{2} (4 x - 5) d x

A

0

B

1

C

3

D

15

Question 9: Calculate

\int_{0}^{1} (e^{x}) d x

A

e

B

e - 1

C

0

D

1

Question 10: Calculate

\int_{3}^{20} (2) d x

A

32

B

40

C

30

D

34

Test: Integration III - Normal

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