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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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The integral of a function times a constant ($4$) is equal to the constant times the integral of the function
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$4\int\frac{1}{1-\cos\left(x\right)+\sin\left(x\right)}dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int(4/(1-cos(x)sin(x)))dx. The integral of a function times a constant (4) is equal to the constant times the integral of the function. We can solve the integral \int\frac{1}{1-\cos\left(x\right)+\sin\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.
