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Expand the fraction $\frac{3\cos\left(x\right)^3-4\sin\left(x\right)^3}{\sin\left(x\right)^2\cos\left(x\right)^2}$ into $2$ simpler fractions with common denominator $\sin\left(x\right)^2\cos\left(x\right)^2$
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$\int\left(\frac{3\cos\left(x\right)^3}{\sin\left(x\right)^2\cos\left(x\right)^2}+\frac{-4\sin\left(x\right)^3}{\sin\left(x\right)^2\cos\left(x\right)^2}\right)dx$
Learn how to solve integral calculus problems step by step online. Solve the trigonometric integral int((3cos(x)^3-4sin(x)^3)/(sin(x)^2cos(x)^2))dx. Expand the fraction \frac{3\cos\left(x\right)^3-4\sin\left(x\right)^3}{\sin\left(x\right)^2\cos\left(x\right)^2} into 2 simpler fractions with common denominator \sin\left(x\right)^2\cos\left(x\right)^2. Simplify the resulting fractions. Simplify the expression. The integral 3\int\frac{\cos\left(x\right)}{\sin\left(x\right)^2}dx results in: -3\csc\left(x\right).