Find the Indefinite Integral $\int \frac { t } { \sqrt { 1 + 7 t } } d t$

question 29

Multiple Choice

Find the indefinite integral. $\int \frac { t } { \sqrt { 1 + 7 t } } d t$

• A) \(\frac { ( 7 t - 2 ) \sqrt { 7 t + 1 } } { 49 } + C\)
• B) \(\frac { 2 ( 7 t - 2 ) \sqrt { 7 t + 1 } } { 147 } + C\)
• C) \(\frac { 2 ( 2 - 7 t ) \sqrt { 7 t + 1 } } { 147 } + C\)
• D) \(\frac { 2 ( 7 t - 2 ) \sqrt { 7 t + 1 } } { 21 } + C\)
• E)none of the above

---

Definitions:

Additive Strategy

A decision-making process in which alternatives are evaluated by summing up their attributes, giving more weighted attributes higher importance.

Elimination

The process of removing or getting rid of something, often used in biological contexts to refer to the expulsion of waste from the body.

Elimination By Aspects

A decision-making process where options are eliminated based on specific criteria until one option remains.

Additive Strategy

An approach to decision making that involves considering all the important attributes of a choice and explicitly adding up their respective values to make a decision.