Evaluate the Integral $$\int \frac { x d x } { \left( 7 x ^ { 2 } + 3 \right) ^ { 5 } }$$

question 44

Multiple Choice

Evaluate the integral.
- $$\int \frac { x d x } { \left( 7 x ^ { 2 } + 3 \right) ^ { 5 } }$$

• A) \(- \frac { 7 } { 3 } \left( 7 x ^ { 2 } + 3 \right) ^ { - 6 } + C\)
• B) \(- \frac { 1 } { 14 } \left( 7 x ^ { 2 } + 3 \right) ^ { - 6 } + C\)
• C) \(- \frac { 7 } { 3 } \left( 7 x ^ { 2 } + 3 \right) ^ { - 4 } + C\)
• D) \(- \frac { 1 } { 56 } \left( 7 x ^ { 2 } + 3 \right) ^ { - 4 } + C\)

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Definitions:

Disposable Income

Fiscal assets at households' disposal for spending and saving after income taxes have been subtracted.

Consumption

Households' utilization of both products and services.

MPS

The marginal propensity to save, which is the fraction of additional income that is saved.

Disposable Income

The fiscal envelope for household spending and saving activity subsequent to income tax adjustments.