# Can you reverse the process?

**Calculus**Level 2

\[\large\int_{1}^{a}\dfrac{x-1}{x+\sqrt{x}}dx=4\]

Let \(a>1\) be a constant satisfying the equation above. What is the value of \(\large a^2+a+1\)?

\[\large\int_{1}^{a}\dfrac{x-1}{x+\sqrt{x}}dx=4\]

Let \(a>1\) be a constant satisfying the equation above. What is the value of \(\large a^2+a+1\)?

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