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Quiz

Lesson 1 Quiz: Integration Techniques (Substitution and By Parts) and Definite Integrals

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  • Questions count: 3
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1.
Using the Quotient Rule, the derivative of y = (x + 3) / (x - 2) for x != 2 is:
1 / (x - 2)2
5 / (x - 2)2
-5 / (x - 2)2
(2x + 1) / (x - 2)2
2.
According to the Chain Rule, if y = (3 x2 - 5)4, then dy/dx is:
24 x (3 x2 - 5)3
6 x (3 x2 - 5)3
12 x (3 x2 - 5)4
4 (3 x2 - 5)3
3.
When using integration by parts on \(\int x \ln x\, dx\), according to the LIATE rule, the choice for \(u\) should be:
C) $x ln x$
B) $ln x$
A) \(x\)
D) \(dx\)
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