Evaluate the Integral by Using a Substitution Prior to Integration $$\int \ln \left( 10 x + 10 x ^ { 2 } \right) d x$$

question 95

Multiple Choice

Evaluate the integral by using a substitution prior to integration by parts.
- $$\int \ln \left( 10 x + 10 x ^ { 2 } \right) d x$$

• A) \(x \ln \left( 10 x + 10 x ^ { 2 } \right) + \ln ( x + 1 ) - 2 x + C\)
• B) \(\ln \left( 10 x + 10 x ^ { 2 } \right) - 2 x + C\)
• C) \(x \ln \left( 10 x + 10 x ^ { 2 } \right) + C\)
• D) \(\ln \left( 10 x + 10 x ^ { 2 } \right) + \ln ( x + 1 ) + C\)

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Definitions:

Stubborn

Showing determination not to change one's attitude or position on something, especially in spite of good arguments or reasons to do so.

Superego

In psychoanalytic theory, a part of the personality composed of the moral standards and ideals acquired from parents and society, functioning to judge and restrict one’s impulses.

Conscience

An inner sense of what is right and wrong in one's conduct and motives, urging one toward right action.

Reality

The state of things as they actually exist, outside of perception or beliefs.