If the area of the region bounded by the curves, y = x 2 , y = 1 x and the lines y = 0 and x = t t 1 is 1 sq . unit , then t is equal to

Question

If the area of the region bounded by the curves, y = x 2 , y = 1 x and the lines y = 0 and x = t t > 1 is 1 sq . unit , then t is equal to, e 2 3, e 3 2, 3 2, 4 3

MARKS App · Accepted Answer

Area = ∫ 0 1 x 2 d x + ∫ 1 t 1 x d x = 1 ⇒ 1 3 + ln t = 1 ⇒ t = e 2 3

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