Free Printable March 14 Assignment- Indefinite Integrals

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March 14 Assignment- Indefinite Integrals

Total questions: 20

Worksheet time: 2hrs 48mins

Name

Class

Date

1.

Integrate $\int\left(-20x^3-6x^{-3}\right)dx$

a)

$-5x^4+\frac{3}{x^2}+C$

b)

$-20x^4-\frac{6}{x^2}+C$

c)

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

d)

$-20x^4+\frac{3}{2}+C$

2.

∫ 4 dx

a)

0

b)

4t + C

c)

4x + C

d)

2x² + C

3.

a)

1/x²+C

b)

x²+C

c)

-1/x²+C

d)

C

4.

a)

-2 cos(x) + C

b)

2 cos(x) + C

c)

cos(x) / 2 +C

d)

- cos (x) / 2 +C

5.

a)

-sec x + C

b)

sec x + C

c)

tan x + C

d)

tan² x + C

6.

$\int\sqrt{x^5}dx=....$

a)

$\frac{7}{2}\sqrt{x^7}+c$

b)

$\frac{2}{7}\sqrt{x^7}+c$

c)

$\frac{7}{2\sqrt{x^7}}+c$

d)

$\frac{2}{7\sqrt{x^7}}+c$

7.

$\int t^2\left(3t+5\right)dt=....$

a)

$\frac{3}{4}t^4+\frac{5}{3}t^3+c$

b)

$3t^4+\frac{3}{5}t^3+c$

c)

$\frac{3}{4}t^3+\frac{5}{3}t^2+c$

d)

$9t^2+10t+c$

8.

$\int_{ }^{ }\left(2x-1\right)^2dx$

a)

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

b)

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

c)

$\left(x^2-x\right)^2+c$

d)

$\frac{\left(2x-1\right)^3}{3}+c$

9.

Evaluate the indefinite Integral

a)

-5/x⁵- 2/x³+ C

b)

-5/x³- 2/x⁴+ C

c)

5/x³- 2/x⁴+ C

d)

-5/x³- 2/x⁴

10.

$\int_{ }^{ }\ \frac{3}{2x^5}dx\ =\ ...$

a)

$-\frac{3}{2x^6}+c$

b)

$\frac{3}{2x^4}+c$

c)

$\frac{3}{8x^3}+c$

d)

$-\frac{3}{8x^4}+c$

11.

∫25sec²x dx

a)

25 secx tanx + C

b)

25 tanx + C

c)

-25 tanx + C

d)

-25 sec x + C

12.

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

a)

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

b)

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

c)

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

d)

$-x-3x^2+C$

13.

Find

a)

b)

c)

d)

14.

Find

a)

b)

c)

d)

15.

Evaluate the indefinite integral.

a)

A

b)

B

c)

C

d)

D

16.

Evaluate the indefinite integral.

a)

A

b)

B

c)

C

d)

D

17.

Find

a)

b)

c)

d)

18.

a)

4 sin(x) + C

b)

sin(x) / 4 + C

c)

-4 sin(x) + C

d)

-sin(x) / 4 + C

19.

What does C represent in an Antiderivative?

a)

A variable

b)

Unknown

c)

A constant

d)

None of these

20.

$\int_{ }^{ }\ \frac{4}{\sqrt{x}}dx$

a)

$8\sqrt{x}+C$

b)

$2\sqrt{x}+C$

c)

$\frac{4x}{\sqrt{x}}+C$

d)

None of these

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