
Integration Techniques and Area Approximations

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

Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial trick mentioned to find the area under the y = log x curve?
Using a computer program
Subtracting from a larger rectangle
Using a calculator
Guessing the area
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which advanced technique allows integration of y = log x?
Integration by substitution
Integration by parts
Partial fraction decomposition
Trigonometric substitution
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a characteristic of the Gaussian function?
It is easily integrable
It is used in basic arithmetic
It is important in statistics
It is a simple linear function
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which equation is related to fluid dynamics and cannot be integrated?
Pythagorean theorem
Navier-Stokes equation
Quadratic equation
Euler's formula
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What historical method was used to approximate areas under curves?
Using triangles
Using rectangles
Using ellipses
Using circles
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape is introduced as a better alternative to rectangles for approximation?
Trapeziums
Ellipses
Triangles
Circles
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using the trapezoidal rule in integration?
To simplify algebraic expressions
To make calculations more complex
To approximate areas under curves
To avoid using calculus
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