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Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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$\int\frac{\frac{60}{1-2\cos\left(x\right)}}{\sin\left(x-60\right)}dx$
Learn how to solve problems step by step online. Integrate the function (60/(1-2cos(x)))/sin(x-60). Find the integral. Divide fractions \frac{\frac{60}{1-2\cos\left(x\right)}}{\sin\left(x-60\right)} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Multiply the single term \sin\left(x-60\right) by each term of the polynomial \left(1-2\cos\left(x\right)\right). We can solve the integral \int\frac{60}{\sin\left(x-60\right)-2\cos\left(x\right)\sin\left(x-60\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.