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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