Final Answer
Step-by-step Solution
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Solve the integral by applying the formula $\displaystyle\int\frac{x'}{x^2+a^2}dx=\frac{1}{a}\arctan\left(\frac{x}{a}\right)$
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$\left[\frac{1}{\sqrt{9}}\arctan\left(\frac{x}{\sqrt{9}}\right)\right]_{0}^{3}$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/(9+x^2) from 0 to 3. Solve the integral by applying the formula \displaystyle\int\frac{x'}{x^2+a^2}dx=\frac{1}{a}\arctan\left(\frac{x}{a}\right). Simplify the expression inside the integral. Evaluate the definite integral. Simplify the expression inside the integral.