What was the function discussed in the context of differentiation and integration?

Integrating Exponential Functions Concepts

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Mia Campbell
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
sin x
x log x
e^x
x^2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which function is suggested as easier to integrate compared to log x?
sin x
e^x
x log x
x^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the x and y values when considering the inverse function?
They double
They become negative
They switch places
They remain the same
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the area of the rectangle used for comparison in the area calculation?
1
e
e^2
log e
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral used to find the area under the curve from 0 to 1?
log x from 0 to 1
x^2 from 0 to 1
x log x from 0 to 1
e^x from 0 to 1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the integral from 0 to 1 for e^x?
e - 1
1 - e
1 + e
e + 1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main advantage of using the alternative approach with e^x?
It requires no calculations
It is a standard integral
It is easier to remember
It avoids using logarithms
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