# Evaluate the following definite integrals: ∫491x⋅dx - Mathematics and Statistics

Sum

Evaluate the following definite integrals: 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.

Concept: Fundamental Theorem of Integral Calculus
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