Find the Indefinite Integral $\int \frac { x ^ { 3 } } { 2 x ^ { 4 } + 1 } d x$

question 165

Multiple Choice

Find the indefinite integral. $\int \frac { x ^ { 3 } } { 2 x ^ { 4 } + 1 } d x$

• A) \(\frac { 1 } { 8 } \ln \left| 2 x ^ { 4 } + 1 \right| + C\)
• B) \(\frac { 1 } { 2 x ^ { 4 } + 1 } + C\)
• C) \(\ln \left| 2 x ^ { 4 } - 1 \right| + C\)
• D) \(\ln \left| 2 x ^ { 4 } + 1 \right| + C\)
• E) \(\frac { 1 } { 16 } \ln \left| 2 x ^ { 4 } + 1 \right| + C\)

Recognize the importance of carbon dioxide levels in global climate change and their impact on ecosystems.

Understand the processes involved in the hydrologic cycle and their significance in different ecosystems.

Understand the environmental impact of artificial nitrogen fertilizers on ecosystems and the atmosphere.

Identify the trade-offs and impacts of human activities like offshore oil drilling on ecosystem services.

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