MCQOPTIONS
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MCQOPTIONS
This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Evaluate \(\int_3^7\)2f(x)-g(x)dx, if \(\int_3^7\)f(x) = 4 and \(\int_3^7\)g(x)dx = 2. |
| A. | 38 |
| B. | 12 |
| C. | 6 |
| D. | 7 |
| Answer» D. 7 | |
| 2. |
Compute \(\int_2^6\)7ex dx. |
| A. | 30.82 |
| B. | 7(e6 – e2) |
| C. | 11.23 |
| D. | 81(e6 – e3) |
| Answer» C. 11.23 | |
| 3. |
Compute \(\int_8^2\)2f(x)dx if \(\int_2^8\)f(x) = – 3. |
| A. | – 4 |
| B. | 84 |
| C. | 2 |
| D. | – 8 |
| Answer» D. – 8 | |
| 4. |
Compute \(\int_3^2\)f(x) dx if \(\int_2^3\)f(x) = 4. |
| A. | – 4 |
| B. | 84 |
| C. | 2 |
| D. | – 8 |
| Answer» D. – 8 | |
| 5. |
Evaluate \(\int_2^3\)3f(x)-g(x)dx, if \(\int_2^3\)f(x) = 4 and \(\int_2^3\)g(x)dx = 4. |
| A. | 38 |
| B. | 12 |
| C. | 8 |
| D. | 7 |
| Answer» D. 7 | |
| 6. |
What property this does this equation come under \(\int^1_{-1}\)sinx dx=-\(\int_1^{-1}\)sinx dx? |
| A. | Reverse integral property |
| B. | Adding intervals property |
| C. | Zero-length interval property |
| D. | Adding integrand property |
| Answer» B. Adding intervals property | |
| 7. |
What is the name of the property \(\int_a^b\)f(x)dx = 0? |
| A. | Reverse integral property |
| B. | Adding intervals property |
| C. | Zero-length interval property |
| D. | Adding integrand property |
| Answer» C. Zero-length interval property | |
| 8. |
What is the name of the property \(\int_a^b\)f(x)dx=-\(\int_b^a\)f(x)dx? |
| A. | Reverse integral property |
| B. | Adding intervals property |
| C. | Zero interval property |
| D. | Adding integrand property |
| Answer» B. Adding intervals property | |
| 9. |
What is the name of the property of \(\int_a^b\)f(x)dx+\(\int_b^c\)f(x)dx = \(\int_a^c\)f(x) dx? |
| A. | Zero interval property |
| B. | Adding intervals property |
| C. | Adding integral property |
| D. | Adding integrand property |
| Answer» C. Adding integral property | |
| 10. |
What is adding intervals property? |
| A. | \(\int_a^c\)f(x)dx+\(\int_b^c\)f(x)dx = \(\int_a^c\)f(x) dx |
| B. | \(\int_a^b\)f(x)dx+\(\int_b^a\)f(x)dx = \(\int_a^c\)f(x) dx |
| C. | \(\int_a^b\)f(x)dx+\(\int_b^c\)f(x)dx = \(\int_a^c\)f(x) dx |
| D. | \(\int_a^b\)f(x)dx-\(\int_b^c\)f(x)dx = \(\int_a^c\)f(x) dx |
| Answer» D. \(\int_a^b\)f(x)dx-\(\int_b^c\)f(x)dx = \(\int_a^c\)f(x) dx | |
| 11. |
Identify the zero-length interval property. |
| A. | \(\int_a^b\)f(x)dx = -1 |
| B. | \(\int_a^b\)f(x)dx = 1 |
| C. | \(\int_a^b\)f(x)dx = 0 |
| D. | \(\int_a^b\)f(x)dx = 0.1 |
| Answer» D. \(\int_a^b\)f(x)dx = 0.1 | |
| 12. |
What is the reverse integral property of definite integrals? |
| A. | –\(\int_a^b\)f(x)dx=-\(\int_b^a\)g(x)dx |
| B. | –\(\int_a^b\)f(x)dx=-\(\int_b^a\)g(x)dx |
| C. | \(\int_a^b\)f(x)dx=\(\int_b^a\)g(x)dx |
| D. | \(\int_a^b\)f(x)dx=-\(\int_b^a\)f(x)dx |
| Answer» E. | |
| 13. |
What is the constant multiple property of definite integrals? |
| A. | \(\int_a^b\)k⋅f(x)dy |
| B. | \(\int_a^b\)[f(-x)+g(x)dx |
| C. | \(\int_a^b\)k⋅f(x)dx |
| D. | \(\int_a^b\)[f(x)+g(x)dx |
| Answer» D. \(\int_a^b\)[f(x)+g(x)dx | |
| 14. |
The sum property of definite integrals is \(\int_a^b\)[f(x)+g(x)dx? |
| A. | False |
| B. | True |
| Answer» C. | |
| 15. |
What is the difference property of definite integrals? |
| A. | \(\int_a^b\)[-f(x)-g(x)dx |
| B. | \(\int_a^b\)[f(-x)+g(x)dx |
| C. | \(\int_a^b\)[f(x)-g(x)dx |
| D. | \(\int_a^b\)[f(x)+g(x)dx |
| Answer» D. \(\int_a^b\)[f(x)+g(x)dx | |