Basic Integrals Quiz

1. What is the integral of f(x) = x² dx?

a) (x³/3) + C

b) x³ + C

c) 2x + C

d) (x²/2) + C

2. What is the integral of f(x) = 2x dx?

a) x² + C

b) 2x² + C

c) 2 + C

d) x + C

3. True or False: The integral of 1/x dx is ln|x| + C.

a) True

b) False

4. What is the integral of f(x) = cos(x) dx?

a) sin(x) + C

b) -cos(x) + C

c) -sin(x) + C

d) cos(x) + C

5. What is the integral of f(x) = e^x dx?

a) e^x + C

b) x e^x + C

c) e + C

d) 0 + C

6. What is the integral of f(x) = 1 dx?

a) x + C

b) 1 + C

c) 0 + C

d) x² + C

7. What is the integral of f(x) = sin(x) dx?

a) -cos(x) + C

b) cos(x) + C

c) sin(x) + C

d) -sin(x) + C

8. True or False: Integration by substitution is used for composite functions.

a) True

b) False

9. What is the integral of f(x) = x e^x dx?

a) e^x + C

b) x e^x - e^x + C

c) x e^x + C

d) e^x(x + 1) + C

10. What is the integral of f(x) = 2x³ dx?

a) (x^4/2) + C

b) (x^4/4) + C

c) 2x^4 + C

d) 6x² + C