Final answer to the problem
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- 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
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Simplify the expression
Learn how to solve integration by trigonometric substitution problems step by step online.
$2\int\frac{\sin\left(\theta\right)}{4\cos\left(\theta\right)^2\sqrt{4-4\cos\left(\theta\right)^2}}dt$
Learn how to solve integration by trigonometric substitution problems step by step online. Solve the trigonometric integral int((2sin(t))/((2cos(t))^2(4-4cos(t)^2)^(1/2)))dt. Simplify the expression. Take the constant \frac{1}{4} out of the integral. Multiply the fraction and term in 2\cdot \left(\frac{1}{4}\right)\int\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)^2\sqrt{4-4\cos\left(\theta\right)^2}}dt. We can solve the integral \int\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)^2\sqrt{4-4\cos\left(\theta\right)^2}}dt 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 \cos\left(\theta\right) it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.
