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- 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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Rewrite the trigonometric expression $\frac{1}{2\sin\left(x\right)+\sin\left(2x\right)}$ inside the integral
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$\int\frac{1}{2\sin\left(x\right)+2\sin\left(x\right)\cos\left(x\right)}dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(1/(2sin(x)+sin(2x)))dx. Rewrite the trigonometric expression \frac{1}{2\sin\left(x\right)+\sin\left(2x\right)} inside the integral. We can solve the integral \int\frac{1}{2\sin\left(x\right)+2\sin\left(x\right)\cos\left(x\right)}dx by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of t by setting the substitution. Hence. Substituting in the original integral we get.