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Worksheets

All about Integrate

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

∫π dx\int\pi\ dx  

a)

π + C\pi\ +\ C  

b)

00  

c)

πx + C\pi x\ +\ C  

d)

πx\pi x  

2.

What is the base for the function 3ax3a^x  ?

a)

aa  

b)

33  

c)

3a3a  

d)

xx  

3.

∫024 dx=4(2−0)=8\int_0^24\ dx=4\left(2-0\right)=8  

a)

False

b)

Correct

4.

∫224x−e−3x+ln⁡2 dx \int_2^24x-e^{-3x}+\ln2\ dx\  

a)

33  

b)

12\frac{1}{2}  

c)

11  

d)

00  

5.

∫(13x−5) dx\int\left(\frac{1}{3x-5}\right)\ dx  

a)

ln⁡∣3x−5∣+C\ln\left|3x-5\right|+C  

b)

ln⁡∣3x−5∣3+C\frac{\ln\left|3x-5\right|}{3}+C  

c)

ln⁡(3x−5)3+C\frac{\ln\left(3x-5\right)}{3}+C  

d)

ln⁡(3x−5)+C\ln\left(3x-5\right)+C  

6.

∫(f′(x)f(x))dx=ln⁡∣f′(x)∣+C\int\left(\frac{f'\left(x\right)}{f\left(x\right)}\right)dx=\ln\left|f'\left(x\right)\right|+C  

a)

False

b)

Correct

7.

There are 6 steps to integrate definite integral by using substitution method. What is the 4th step?

a)

Differentiate u

b)

Change everything to u

c)

Change everything to x

d)

Integrate u

8.

Indefinite integral is integral with limits.

a)

Yes, correct!

b)

No, absolutely false!

9.

Choose the correct u for the following integral ∫3x2ex3dx\int3x^2e^{x^3}dx  .

a)

3x23x^2  

b)

ex3e^{x^3}  

c)

x3x^3  

d)

None of the following

10.

I prefer .....

a)

Differentiation

b)

Integration