| What to create | Quiz |
| Which subject | Mathematics |
| What age group | College |
| What topic | Integration |
| Question types | Open-ended |
| Number of questions | 5 |
| Number of answers | 5 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Instructions: Answer the following questions related to the topic of integration. Each question is open-ended, and you are required to provide just one correct answer for the integration problem presented.
Evaluate the Integral: [ \int (3x^2 + 2x + 1) \, dx ]
Determine the Area: Find the area under the curve of the function ( f(x) = x^3 - 4x ) between the interval ( x = -2 ) and ( x = 2 ).
Integration by Parts: Use the integration by parts technique to evaluate the integral: [ \int x e^x \, dx ]
Evaluate the Definite Integral: Calculate the value of the definite integral: [ \int_0^1 (4 - 4x^2) \, dx ]
Improper Integral: Determine whether the following improper integral converges or diverges: [ \int_1^{\infty} \frac{1}{x^2} \, dx ]
Good luck! Please ensure that you provide detailed steps for each of your answers where necessary.