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Expand the fraction $\frac{2\cot\left(x\right)-3\sin\left(x\right)}{\sin\left(x\right)}$ into $2$ simpler fractions with common denominator $\sin\left(x\right)$
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$\int\left(\frac{2\cot\left(x\right)}{\sin\left(x\right)}+\frac{-3\sin\left(x\right)}{\sin\left(x\right)}\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((2cot(x)-3sin(x))/sin(x))dx. Expand the fraction \frac{2\cot\left(x\right)-3\sin\left(x\right)}{\sin\left(x\right)} into 2 simpler fractions with common denominator \sin\left(x\right). Simplify the resulting fractions. Simplify the expression inside the integral. We can solve the integral \int\frac{\cos\left(x\right)}{\sin\left(x\right)^2}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.