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निम्नांकित को सिद्ध कीजिए: (i) int(1)...

निम्नांकित को सिद्ध कीजिए:
(i) `int_(1)^(3) (dx)/(x^(2) (x + 1)) = (2)/(3) + "log" (2)/(3)` (ii) `int_(0)^(1) xe^(x) dx = 1`
(iii) `int_(-1)^(1) x^(17) cos^(4) x dx = 0` (iv) `int_(0)^((pi)/(4)) 2 tan^(3) x dx = 1 - log 2`
(v) `int_(0)^(1) sin^(-1) x dx = (pi)/(2) - 1`

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