Final answer to the problem
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How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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Learn how to solve definite integrals problems step by step online.
$\int_{0}^{\frac{3}{2}}\frac{1}{\sqrt{9-x^2}}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/((9-x^2)^1/2) from 0 to 3/2. Simplifying. 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.