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Question
Fill in the blank : `int_4^9 (1)/sqrt(x)*dx` = _______
Solution
Let I = `int_4^9 (1)/sqrt(x)*dx`
= `int_4^9x^(1/2)*dx = [(x^(1/2))/(1/2)]_4^9`
= `2[sqrt(x)]_4^9`
= `2(sqrt(9) - sqrt(4))`
= 2 (3 – 2)
∴ I = 2.
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