Find the value of
This problem is a part of <Grade 12 CSAT Mock test> series .
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Let x 2 − 1 = t , so that 2 x d x = d t . Then,
∫ 1 2 x 3 x 2 − 1 d x = 2 1 ∫ 0 1 ( t + 1 ) t d t = 2 1 [ 5 2 t 2 5 + 3 2 t 2 3 ] 0 1 = 1 5 8 .