Free Printable Basic Antiderivatives

1.

Find the antiderivative:

$\int_{ }^{ }5x^6dx$

a)

$x^6$

b)

$x^6+C$

c)

$\frac{5x^7}{7}$

d)

$\frac{5x^7}{7}+C$

2.

Find the antiderivative:

$\int_{ }^{ }3-6x\ dx$

a)

$0\ +C\ =\ C$

b)

$-x^3+C$

c)

$3x-6x^2+C$

d)

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

3.

∫(4 - 18x)dx

a)

F(x) = -18

b)

F(x) = 4x - 9x²

c)

F(x) = 4x - 9x²+ C

d)

F(x) = (4 - 18x)² /2 + C

4.

∫ t⁶ dt

a)

6t⁵

b)

6t⁵ + C

c)

1/7 t⁷ + C

d)

t⁷ + C

5.

a)

-(24/4)x⁴+C

b)

-4x⁶+C

c)

-4x⁵+C

d)

-24x⁶+C

6.

a)

-3x²+C

b)

-6+C

c)

-6x+C

d)

-6x

7.

a)

4x³+C

b)

12x³+C

c)

4x²+C

d)

7

8.

∫ x(x² - 4) dx

a)

x²/2(x³/3 - 4x) + C

b)

.25x⁴ -2x²+ C

c)

3x²- 4 + C

d)

x⁴ - 4x²+ C

9.

$\int2x^{-2}dx$

a)

$2x^{-1}+c$

b)

$\frac{2}{3}x^{-3}+c$

c)

$-2x^{-1}+c$

d)

$-\frac{2}{3}x^{-3}+c$

10.

$\int\left(6\sqrt{x}-1\right)dx$

a)

$6x^{\frac{3}{2}}+x+C$

b)

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

c)

$3x^{-\frac{1}{2}}-x+C$

d)

I didn't look at my notes to see how to do this one.

11.

$\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx$

a)

$-x^{-1}-3x^{-2}+C$

b)

$\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C$

c)

$-x^{-1}-3x^{-2}$

d)

$-x-3x^2+C$

12.

Integrate $\int_{ }^{ }\sin x\ dx$

a)

$=\tan x+c$

b)

$=-\cos x+c$

c)

$=-\sec x+c$

d)

$=\operatorname{cosec}\ x\ +c$

13.

∫(cos x + 3x²)dx =

a)

-sin x + x³ + c

b)

sinx + x³ + c

c)

-sin x + 6x

d)

🌞

14.

a)

A

b)

B

c)

C

d)

D

15.

What is an antiderivative?

a)

The opposite of a derivative

b)

The same as a derivative

c)

A second derivative

d)

It always represents velocity.

16.

What does C represent in an antiderivative?

a)

A variable

b)

A constant

c)

None of these

d)

Unknown

17.

$\int\pi\ .dx\$

a)

$\pi\ +c\$

b)

$\pi^2\ +c\$

c)

$0$

d)

$\pi\ x\ +c\$

18.

$\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx$

a)

$x^{-1}\ +\ x^{-2}+\ c$

b)

$x^0\ -\ x^{-1}+\ c$

c)

$\ln x+\ x^{-1}+\ c$

d)

$\ln x-\ x^{-1}+\ c$

19.

$\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx$

a)

$2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C$

b)

$5x^{\frac{1}{3}}-4e^{-4x}+1+C$

c)

$\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C$

d)

Got lazy with fake answers

20.

∫₁³ 5x² dx

a)

a. 43

b)

b. 130/3

c)

c. 40

d)

d. 19/3

21.

Evaluate the definite integral.

a)

3

b)

9/2

c)

9

d)

Not possible

22.

Another word for 'integral' is .. .

a)

Constant

b)

Derivative

c)

Antiderivative

d)

Theorem

23.

a)

a. 24

b)

b. -8

c)

c. -10

d)

d. 22

24.

What is the point on the Earth’s surface directly above the focus of an earthquake?

a)

Epicenter

b)

Fault

c)

Hypocenter

d)

Tremor

25.

President Carter played a role in the Camp David Accords by -

a)

Facilitating peace talks between Israel and Egypt

b)

Sending military troops to Iran in order to gain access to oil reserves

c)

Negotiating with the leader of the Soviet Union to scale back the production of nuclear weapons

d)

Encouraging Israel to boycott goods from Egypt until their demands were met

26.

The Iran-Contra affair was a stain on the Regan administration because -

a)

Regan secretly sold weapons to Iran in order to raise money to support the rebel Contras in Nicaragua

b)

Regan refuse to sign a peace treaty with Iran and the Soviets

c)

He did not follow through on his promise to deliver medical supplies and money to Guatemala after a large earthquake devastated the country

d)

His administration broke into a hotel to steal information from a political rival

Basic Antiderivatives

Total questions: 26

Worksheet time: 1hrs 18mins

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