Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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We can solve the integral $\int\sqrt{4-x^2}dx$ by applying integration method of trigonometric substitution using the substitution
Learn how to solve definite integrals problems step by step online.
$x=2\sin\left(\theta \right)$
Learn how to solve definite integrals problems step by step online. Integrate the function (4-x^2)^(1/2) from -2 to 0. We can solve the integral \int\sqrt{4-x^2}dx by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dx, we need to find the derivative of x. We need to calculate dx, we can do that by deriving the equation above. Substituting in the original integral, we get. Factor the polynomial 4-4\sin\left(\theta \right)^2 by it's greatest common factor (GCF): 4.