Find the Indefinite Integral of the Following Function and Check $\int ( 1 + 4 z ) ^ { 3 } d z$

question 28

Multiple Choice

Find the indefinite integral of the following function and check the result by differentiation. $\int ( 1 + 4 z ) ^ { 3 } d z$

• A) \(4 ( 1 + 4 z ) ^ { 4 } + C\)
• B) \(\frac { ( 1 + 4 z ) ^ { 4 } } { 3 } + C\)
• C) \(\frac { ( 1 + 4 z ) ^ { 4 } } { 4 } + C\)
• D) \(\frac { ( 1 + 4 z ) ^ { 4 } } { 16 } + C\)
• E)none of the above

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A way of expressing one amount as a fraction of 100, utilized to denote change or comparison between quantities.

Decimal

A number expressed using a decimal system, which includes a point to separate the integer part from the fractional part (e.g., 3.14).

Consecutive Odd Integers

Integers that follow one after another in order and are odd, each differing by two from the next (e.g., 1, 3, 5, ...).