

Calculus Integration and Derivatives
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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27 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the integral of x cubed plus 1 over x?
Apply the power rule directly
Use partial fraction decomposition
Divide each term by x
Use trigonometric substitution
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used for integrals involving natural logarithms?
Integral of du/u = ln|u| + C
Integral of e^x dx = e^x + C
Integral of x^n dx = x^(n+1)/(n+1) + C
Integral of sin x dx = -cos x + C
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the integral of x squared dx?
x^3/3 + C
x^2/2 + C
x^4/4 + C
ln|x| + C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final answer for the integral of x cubed plus 1 over x?
x^4/4 + ln|x| + C
x^3/3 + ln|x| + C
ln|x| + C
x^2/2 + ln|x| + C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of x^2 dx?
ln|x| + C
x^4/4 + C
x^2/2 + C
x^3/3 + C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of 1/x dx?
1/x + C
x^3/3 + C
x^2/2 + C
ln|x| + C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second problem, what is the expression chosen for u in u-substitution?
2x
ln(x)
5x - 7
x^2
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