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Use the Fundamental theorem of calculus to evaluate the integral ∫ √xdx
1
$\displaystyle \int_1^4 \sqrt{x} \, dx = \int_1^4 x^{1/2} \, dx$.
And you're expected to know the following:
1. $\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C$ where $\displaystyle n \neq -1$.
2. If $\displaystyle F(x) = \int f(x) \, dx$ then $\displaystyle \int_a^b f(x) \, dx = F(b) - F(a)$.