What is the first step in solving the integral of sine natural log of X?

Integration of Sine Natural Logarithm

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Mathematics
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11th Grade - University
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Hard

Sophia Harris
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Use partial fraction decomposition
Apply use substitution
Differentiate the function
Use trigonometric identities
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the substitution method, what is U set equal to?
Ln X
sin X
e^X
X
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What technique is used after substitution to solve the integral?
Partial fraction decomposition
Integration by parts
Trigonometric substitution
Differentiation
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In integration by parts, what is the formula used?
U/V
U + V
UV - integral of VDU
U * V
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of sine in the context of integration by parts?
Cosine
Negative cosine
Tangent
Negative tangent
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the two negative signs in the expression during simplification?
They add up
They cancel each other
They multiply
They remain unchanged
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of multiplying both sides by 1/2 in the final steps?
To simplify the expression
To balance the equation
To factor out a common term
To convert to a different base
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