Evaluate the Improper Integral $$\int _ { 1 } ^ { 4 } \int _ { 0 } ^ { \infty } \frac { 1 } { x \left( y ^ { 2 } + 1 \right) } d y d x$$

question 292

Multiple Choice

Evaluate the improper integral.
- $$\int _ { 1 } ^ { 4 } \int _ { 0 } ^ { \infty } \frac { 1 } { x \left( y ^ { 2 } + 1 \right) } d y d x$$

• A) \(\frac { \ln 4 } { 3 }\)
• B) \(\frac { ( \ln 4 ) \pi } { 3 }\)
• C) \(\frac { ( \ln 4 ) \pi } { 2 }\)
• D) \(\frac { \ln 4 } { 2 }\)

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