Final Answer
Step-by-step Solution
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Learn how to solve logarithmic differentiation problems step by step online.
$\int\frac{3\cdot 2\left(\frac{1+\sin\left(x\right)}{1-\sin\left(x\right)}\right)^2\cos\left(x\right)}{\left(1-\sin\left(x\right)\right)^2}dx$
Learn how to solve logarithmic differentiation 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. Simplify the expression inside the integral. We can solve the integral \int\frac{\left(1+\sin\left(x\right)\right)^2\cos\left(x\right)}{\left(1-\sin\left(x\right)\right)^{4}}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that \sin\left(x\right) it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.