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The Integral xsin1xdx\int x \sin ^ { - 1 } x d x

Question 122

Multiple Choice

The integral xsin1xdx\int x \sin ^ { - 1 } x d x is


A) 2x2sin1xsin1x+x1x24+C- \frac { 2 x ^ { 2 } \sin ^ { - 1 } x - \sin ^ { - 1 } x + x \sqrt { 1 - x ^ { 2 } } } { 4 } + C
B) 2x2sin1xsin1xx1x24+C- \frac { 2 x ^ { 2 } \sin ^ { - 1 } x - \sin ^ { - 1 } x - x \sqrt { 1 - x ^ { 2 } } } { 4 } + C
C) 2x2sin1x+sin1xx1x24+C\frac { 2 x ^ { 2 } \sin ^ { - 1 } x + \sin ^ { - 1 } x - x \sqrt { 1 - x ^ { 2 } } } { 4 } + C
D) 2x2sin1xsin1x+x1x24+C\frac { 2 x ^ { 2 } \sin ^ { - 1 } x - \sin ^ { - 1 } x + x \sqrt { 1 - x ^ { 2 } } } { 4 } + C
E) 2x2sin1x+sin1x+x1x24+C\frac { 2 x ^ { 2 } \sin ^ { - 1 } x + \sin ^ { - 1 } x + x \sqrt { 1 - x ^ { 2 } } } { 4 } + C

Correct Answer:

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