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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Integration

Grade: 1300-a Lesson: S2-L6

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	Evaluate the integral: \$ (\int (1/1 - x^2) dx) \$.	A) \$ (1/4) ln\|(1 + x)/(1 - x)\| + C \$ B) \$ (1/2) ln\|(1 + x)/(1 - x)\| + C \$ C) \$ (1/6) ln\|(1 + x)/(1 - x)\| + C \$ D) \$ (1/3) ln\|(1 + x)/(1 - x)\| + C \$
2	Evaluate: \$ \int (3x^3 + 2)^5 x^2 dx \$.	A) \$ (1/54)(3x^3)^6 + C \$ B) \$ (1/54)(3x^3 + 2)^6 + C \$ C) \$ (1/54)(3x^3 + 2)^5 + C \$ D) \$ (1/14)(3x^3 + 2)^6 + C \$
3	Evaluate: \$ \int cos(2x) dx \$.	A) \$ (1/4) sin(4x) + C \$ B) \$ (1/2) sin(4x) + C \$ C) \$ (1/4) sin(2x) + C \$ D) \$ (1/2) sin(2x) + C \$
4	Evaluate: \$ \int (8x + 2)^2 dx \$.	A) \$ ((8x + 2)^2/14) + C\$ B) \$ ((8x + 2)^3/14) + C\$ C) \$ ((8x + 2)^2/24) + C\$ D) \$ ((8x + 2)^3/24) + C\$
5	Evaluate the definite integral: \$ \int_(-5)^5 ((2/5)x + 4) dx\$.	A) 32 B) 25 C) 20 D) 40
6	Find the area bounded by \$ y = 1 - x^ 2 \$ and the x-axis on [0, 2].	A) \$ 4/3 \$ B) \$ 3/4 \$ C) \$ 2/3 \$ D) \$3/2 \$
7	Given \$\int f(x)dx = 5\$ and \$\int g(x)dx = - 3\$ Evaluate: \$\int (3f(x) - 2g(x))dx\$.	A) 21 B) 22 C) 23 D) 24
8	\$\int x ln x dx \$.	A) \$ (x^2/2) + (c) \$ B) \$ (x^3/2) + (c)\$ C) \$ (2x^2) + (c) \$ D) \$ ((4x^2)/6) + (c) \$
9	Evaluate the definite integral: \$ \int_0^2 (3x^2 + 2x + 1) dx\$.	A) 13 B) 14 C) 15 D) 16
10	evaluate \$ \int_0^1 (e^2x) dx\$.	A) \$ (1/2)(x^2-1) \$ B) \$ (1/2)(e^2-1) \$ C) \$ (2)(e^2-5) \$ D) \$ (1/2)(e^2+5) \$

Problem Id

Problem

Options

Evaluate the integral: \$ (\int (1/1 - x^2) dx) \$.

A) \$ (1/4) ln|(1 + x)/(1 - x)| + C \$

B) \$ (1/2) ln|(1 + x)/(1 - x)| + C \$

C) \$ (1/6) ln|(1 + x)/(1 - x)| + C \$

D) \$ (1/3) ln|(1 + x)/(1 - x)| + C \$

Evaluate: \$ \int (3x^3 + 2)^5 x^2 dx \$.

A) \$ (1/54)(3x^3)^6 + C \$

B) \$ (1/54)(3x^3 + 2)^6 + C \$

C) \$ (1/54)(3x^3 + 2)^5 + C \$

D) \$ (1/14)(3x^3 + 2)^6 + C \$

Evaluate: \$ \int cos(2x) dx \$.

A) \$ (1/4) sin(4x) + C \$

B) \$ (1/2) sin(4x) + C \$

C) \$ (1/4) sin(2x) + C \$

D) \$ (1/2) sin(2x) + C \$

Evaluate: \$ \int (8x + 2)^2 dx \$.

A) \$ ((8x + 2)^2/14) + C\$

B) \$ ((8x + 2)^3/14) + C\$

C) \$ ((8x + 2)^2/24) + C\$

D) \$ ((8x + 2)^3/24) + C\$

Evaluate the definite integral: \$ \int_(-5)^5 ((2/5)x + 4) dx\$.

A) 32

B) 25

C) 20

D) 40

Find the area bounded by \$ y = 1 - x^ 2 \$ and the x-axis on [0, 2].

A) \$ 4/3 \$

B) \$ 3/4 \$

C) \$ 2/3 \$

D) \$3/2 \$

Given \$\int f(x)dx = 5\$ and \$\int g(x)dx = - 3\$
Evaluate: \$\int (3f(x) - 2g(x))dx\$.

A) 21

B) 22

C) 23

D) 24

\$\int x ln x dx \$.

A) \$ (x^2/2) + (c) \$

B) \$ (x^3/2) + (c)\$

C) \$ (2x^2) + (c) \$

D) \$ ((4x^2)/6) + (c) \$

Evaluate the definite integral: \$ \int_0^2 (3x^2 + 2x + 1) dx\$.

A) 13

B) 14

C) 15

D) 16

evaluate \$ \int_0^1 (e^2x) dx\$.

A) \$ (1/2)(x^2-1) \$

B) \$ (1/2)(e^2-1) \$

C) \$ (2)(e^2-5) \$

D) \$ (1/2)(e^2+5) \$