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...
First, factor the terms inside the radical by $2$ for an easier handling
Learn how to solve integrals with radicals problems step by step online.
$\int y^3\sqrt{2\left(y^2+\frac{1}{2}\right)}dy$
Learn how to solve integrals with radicals problems step by step online. Integrate int(y^3(2y^2+1)^(1/2))dy. First, factor the terms inside the radical by 2 for an easier handling. Taking the constant out of the radical. We can solve the integral \int\sqrt{2}y^3\sqrt{y^2+\frac{1}{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.
