Quiz about Summative Test 2

Question 1

Question 1.

Accepted Answer

2/3 x3 +C

Answer

2/3 x3

Answer

2x+C

Answer

4x+C

Question 2

Question 2.

Accepted Answer

1/4 x2 + C

Answer

x2 + C

Answer

1/2 x2 + C

Answer

2x2 + C

Question 3

Question 3.

Accepted Answer

-4x6+C

Answer

-(24/4)x⁴+C

Answer

-4x5+C

Answer

-24x6+C

Question 4

Question 4.

Accepted Answer

-4x⁶-5x²+C

Answer

-24x⁶-10x²+C

Answer

-4x⁵-5x+C

Answer

-4x⁶-10+C

Question 5

Evaluate the indefinite integral.

$$\int_{ }^{ }\left(2x+2x^{-3}-6x^{-4}\right)dx$$

Accepted Answer

$$x^2-x^{-2}+2x^{-3}+C$$

Answer

$$x-x^{-3}+2x^4+C$$

Answer

$$-2x+C$$

Answer

$$2x^2+2x^{-2}-6x^{-3}+C$$

Question 6

Evaluate the indefinite integral.

$$\int_{ }^{ }\left(16x^3+5-6x^{-3}\right)dx$$

Accepted Answer

$$4x^4+5x+3x^{-2}+c$$

Answer

$$4x^3+5+3x^{-3}+C$$

Answer

$$16x^4+5x-6x^{-2}+C$$

Answer

$$15x+C$$

Question 7

$$\int_{ }^{ }\ \sqrt{x}\ dx$$

Accepted Answer

$$\frac{2}{3}x^{\frac{3}{2}}+C$$

Answer

$$\frac{1}{2}\sqrt{x}+C$$

Answer

$$\frac{1}{2\sqrt{x}}+C$$

Answer

$$\frac{3}{2}x^{\frac{2}{3}}+C$$

Question 8

Another word for 'integral' is .. .

Accepted Answer

Antiderivative

Answer

Constant

Answer

Derivative

Answer

Theorem

Question 9

$$\int_{ }^{ }5x^{-4}dx$$

Accepted Answer

$$-\frac{5}{3x^3}+c$$

Answer

$$\frac{5}{3x^3}+c$$

Answer

$$-\frac{5}{3}x^3+c$$

Answer

$$-x^{-5}+c$$

Question 10

Determine the rule we follow to find the antiderivative of $$x^n.$$

Accepted Answer

$$\frac{x^{\left(n+1\right)}}{n+1}+C$$

Answer

$$nx^{\left(n-1\right)}+C$$

Answer

$$\left(n+1\right)n^{\left(n+1\right)}+C$$

Answer

$$\frac{1}{n-1}x^{\left(n-1\right)}+C$$

Question 11

What does C represent in an antiderivative?

Accepted Answer

A constant

Answer

A variable

Answer

Unknown

Answer

None of These

Question 12

Evaluate the indefinite Integral

Accepted Answer

-5/x³- 2/x⁴+ C

Answer

-5/x⁵- 2/x³+ C

Answer

5/x³- 2/x⁴+ C

Answer

-5/x³- 2/x⁴

Question 13

$$\int_{ }^{ }x\left(x^2-4\right)dx$$

Accepted Answer

$$\frac{x^4}{4}-2x^{2\ }+C$$

Answer

$$\frac{x^2}{2}+\frac{x^3}{3}-4x+C$$

Answer

$$\frac{x^2}{2}\left(\frac{x^3}{3}-4x\right)+C$$

Answer

$$3x^2-4+C$$

Answer

$$x^{4\ }-4x^{2\ }+C$$

Question 14

Question 14.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 15

Question 15.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 16

Question 16.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 17

Question 17.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

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