Final Answer
$\frac{\pi}{2}$
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Step-by-step Solution
Specify the solving method
1
Apply the well-known integration formula: $\displaystyle\int\frac{1}{\sqrt{a^2-x^2}}dx = \arcsin\left(\frac{x}{a}\right)$
$\left[\arcsin\left(\frac{x}{\sqrt{9}}\right)\right]_{0}^{3}$
Learn how to solve definite integrals problems step by step online.
$\left[\arcsin\left(\frac{x}{\sqrt{9}}\right)\right]_{0}^{3}$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/((9-x^2)^1/2) from 0 to 3. Apply the well-known integration formula: \displaystyle\int\frac{1}{\sqrt{a^2-x^2}}dx = \arcsin\left(\frac{x}{a}\right). Calculate the power \sqrt{9}. Evaluate the definite integral. Simplify the expression inside the integral.
Final Answer
$\frac{\pi}{2}$
Exact Numeric Answer
$1.570796$