Lesson Example Discussion Quiz: Class Homework |
Quiz Discussion |
Title: Integration |
Grade: 1300-a Lesson: S2-L6 |
Explanation: Let us discuss a few questions on this topic and review the answers to every question. |
Quiz: Discussion in Class
Problem Id | Problem | Options |
---|---|---|
Steps 1 |
Evaluate the integral \$ \int (2x^3 + 4x^2 - 3x + 5) dx\$. |
A) \$ (1/2)x^4 + (4/3)x^3 - (3/2)x^2 + 5x + C \$ B) \$ 6x^2 + 8x - 3x + C \$ C) \$ (1/2)x^4 - (4/3)x^3 - (2/3)x^2 + 5x + C \$ D) \$ 2x^4 + 4x^3 - 3x^2 + 5x + C \$ |
Steps 2 |
Find the definite integral: \$ \int_0^π sin(x) dx\$. |
A) 1 B) 0 C) 2 D) 3 |
Steps 3 |
Evaluate the following integral: \$ \int (ln(x)/x) dx\$. |
A) \$(ln(x))^2 + C \$ B) \$ (1/2)(ln(x))^2 + C \$ C) \$ 2(ln(x))^2 + C \$ D) \$ 2ln(x) + C \$ |
Steps 4 |
Evaluate \$ \int (x^2 * e^x) dx\$. |
A) \$ x^2 * e^x - 2 * e^x + 2 * e^x + C \$ B) \$ x^2 * e^x - 2x * e^x + 2 + C \$ C) \$ x^2 - 2x * e^x + 2 * e^x + C \$ D) \$ x^2 * e^x - 2x * e^x + 2 * e^x + C \$ |
Steps 5 |
Evaluate \$ \int (x^2) dx\$ with limits from 1 to 3. |
A) \$ 23/3 \$ B) \$ 28/3 \$ C) \$ 26/3 \$ D) \$ 35/3 \$ |
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