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Evaluate the Integral csc36tdt\int \csc ^ { 3 } 6 t d t

Question 96

Multiple Choice

Evaluate the integral.
- csc36tdt\int \csc ^ { 3 } 6 t d t


A) 112csc6tcot6t112lncsc6t+cot6t+C- \frac { 1 } { 12 } \csc 6 t \cot 6 t - \frac { 1 } { 12 } \ln | \csc 6 t + \cot 6 t | + C
B) 112csc6tcot26t112lncsc6t+cot6t+C\frac { 1 } { 12 } \csc 6 t \cot ^ { 2 } 6 t - \frac { 1 } { 12 } \ln | \csc 6 t + \cot 6 t | + C
C) 12csc6tcot6t+12lncsc6t+cot6t+C- \frac { 1 } { 2 } \csc 6 t \cot 6 t + \frac { 1 } { 2 } \ln | \csc 6 t + \cot 6 t | + C
D) 12csc6tcot6t12lncsc6t+cot6t+t6+C- \frac { 1 } { 2 } \csc 6 t \cot 6 t - \frac { 1 } { 2 } \ln | \csc 6 t + \cot 6 t | + \frac { t } { 6 } + C

Correct Answer:

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