Find the Indefinite Integral of the Following Function and Check $\int \frac { 3 t ^ { 2 } } { \sqrt { t ^ { 3 } + 3 } } d t$

question 24

Multiple Choice

Find the indefinite integral of the following function and check the result by differentiation. $\int \frac { 3 t ^ { 2 } } { \sqrt { t ^ { 3 } + 3 } } d t$

• A) \(2 \sqrt { t ^ { 3 } + 3 } + C\)
• B) \(\sqrt { t ^ { 3 } + 3 } + C\)
• C) \(2 \sqrt { t ^ { 2 } + 3 } + C\)
• D) \(\frac { 1 } { 2 } \sqrt { t ^ { 3 } + 3 } + C\)
• E) \(\frac { 1 } { 2 } \sqrt { t ^ { 2 } + 3 } + C\)

---

Definitions:

Specific High Performance Goal

A clearly defined target that aims to achieve superior outcomes, often challenging and precise, designed to enhance performance.

Do Your Best Goal

A personal objective focused on exerting maximum effort and achieving the highest level of performance possible.

Participation

The act of taking part or becoming involved in activities or discussions within a group or organization.

Goal Setting

The process of identifying specific, measurable, and time-targeted objectives to be achieved.