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Question 19
Find ∫e2x1−e4xdx\int \frac { e ^ { 2 x } } { \sqrt { 1 - e ^ { 4 x } } } d x∫1−e4xe2xdx
A) sin−1(e2x) +C\sin ^ { - 1 } \left( e ^ { 2 x } \right) + Csin−1(e2x) +C B) 12tan−1(e2x) +C\frac { 1 } { 2 } \tan ^ { - 1 } \left( e ^ { 2 x } \right) + C21tan−1(e2x) +C C) 12sin−1(ex) +C\frac { 1 } { 2 } \sin ^ { - 1 } \left( e ^ { x } \right) + C21sin−1(ex) +C D) 12sin−1(e2x) +C\frac { 1 } { 2 } \sin ^ { - 1 } \left( e ^ { 2 x } \right) + C21sin−1(e2x) +C
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