Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- Load more...
We can solve the integral $\int\sqrt{1-y^2}dy$ by applying integration method of trigonometric substitution using the substitution
Learn how to solve power rule for derivatives problems step by step online.
$y=\sin\left(\theta \right)$
Learn how to solve power rule for derivatives problems step by step online. Integrate the function (1-y^2)^(1/2) from -(1-x^2)^(1/2) to (1-x^2)^(1/2). We can solve the integral \int\sqrt{1-y^2}dy by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dy, we need to find the derivative of y. We need to calculate dy, we can do that by deriving the equation above. Substituting in the original integral, we get. Applying the trigonometric identity: 1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2.
