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...
Simplify the expression
Learn how to solve problems step by step online.
$\int\frac{\sin\left(2x\right)}{2\left(\sin\left(x\right)^4+\sin\left(x\right)^2\right)}dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int((sin(x)cos(x))/(sin(x)^4+sin(x)^2))dx. Simplify the expression. Take the constant \frac{1}{2} out of the integral. Rewrite the trigonometric expression \frac{\sin\left(2x\right)}{\sin\left(x\right)^4+\sin\left(x\right)^2} inside the integral. We can solve the integral \int\frac{2\sin\left(x\right)\cos\left(x\right)}{\sin\left(x\right)^4+\sin\left(x\right)^2}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that \sin\left(x\right) it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.