Integration II - Normal

Question 1: Find the antiderivative of the function

f (x) = 5 x^{3} + x

A

F (x) = \frac{5 x^{4}}{4} + \frac{x^{2}}{2}

B

F (x) = 5 x^{4} + x^{2} + C

C

F (x) = \frac{5 x^{4}}{4} + \frac{x^{2}}{2} + C

D

F (x) = 5 x^{3} + x + C

Question 2: Find the antiderivative of the function

f (x) = \frac{1}{\cos^{2} (x)} - 1

A

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

B

F (x) = \tan (x) - x

C

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

D

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

Question 3: Find the antiderivative of the function

f (x) = 4

A

F (x) = 4 x + C

B

F (x) = 0

C

F (x) = C

D

F (x) = 4 x

Question 4: Find the antiderivative of the function

f (x) = e^{x} + 5

A

F (x) = e^{x} + 5 + C

B

F (x) = e^{x} + 5 x

C

F (x) = e^{x} + 5 x + C

D

F (x) = x e^{x} + 5 x + C

Question 5: Find the antiderivative of the function

f (x) = 3^{x} + 2

A

F (x) = 3^{x} + 2 + C

B

F (x) = \frac{3^{x}}{\ln (3)} + 2 x

C

F (x) = 3^{x} + 2 x + C

D

F (x) = \frac{3^{x}}{\ln (3)} + 2 x + C

Test: Integration II - Normal