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प्रश्न
Evaluate the following definite integral:
`int_4^9 (1)/sqrt(x)*dx`
उत्तर
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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