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$\int\frac{3\cdot 2\left(\frac{1+\sin\left(x\right)}{1-\sin\left(x\right)}\right)^2\cos\left(x\right)}{1-\sin\left(x\right)^2}dx$
Learn how to solve problems step by step online. Integrate the function (3((1+sin(x))/(1-sin(x)))^2*2cos(x))/(1-sin(x)^2). Find the integral. Simplifying. We can solve the integral \int\frac{6\left(\frac{1+\sin\left(x\right)}{1-\sin\left(x\right)}\right)^2\cos\left(x\right)}{1-\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. Hence.