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Question

Solve xsin1x dx

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Solution

sin1xdx[dsin1xdxxdx]dxx22sin1x11x2x22dxx22sin1x12x21+11x2dxx22sin1x+121x21x2dx1211x2dxx22sin1x+121x2dx1211x2dxx22sin1x+12[12x1x2+12sin1x]12sin1x+Cx22sin1x+x41x2+14sin1x12sin1x+Cx22sin1x+x41x2sin1x4+C

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