How to u substitution to natural logarithms

How to u substitution to natural logarithms

Assessment

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Mathematics

11th Grade - University

Hard

5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial substitution made in the integration process?

U = e^X

U = 1/X

U = X^2

U = Ln(X)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of U with respect to X in the substitution process?

X

e^X

1/X

Ln(X)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is substitution used in integration?

To differentiate the function

To change the limits of integration

To find the maximum value

To simplify the integration process

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression obtained after integration and substitution?

e^X + C

X^2 + C

Ln(X) + C

1/X + C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the constant C represent in the final expression?

The constant of integration

The initial value

The derivative of the function

The limit of integration

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