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Find ∫csc⁡2(x)1+2cot⁡(x)dx\int \frac { \csc ^ { 2 } ( x ) } { 1 + 2 \cot ( x ) } d x

Question 103

Multiple Choice

Find ∫csc⁡2(x) 1+2cot⁡(x) dx\int \frac { \csc ^ { 2 } ( x ) } { 1 + 2 \cot ( x ) } d x


A) ln⁡∣1+2cot⁡x∣+C\ln | 1 + 2 \cot x | + C
B) 12ln⁡∣1+2cot⁡x∣+C\frac { 1 } { 2 } \ln | 1 + 2 \cot x | + C
C) −12ln⁡∣1+2cot⁡x∣+C\frac { - 1 } { 2 } \ln | 1 + 2 \cot x | + C
D) −ln⁡∣1+2cot⁡x∣+C- \ln | 1 + 2 \cot x | + C

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