Final Answer
$\ln\left(\sin\left(y\right)\right)-\frac{1}{4}\cos\left(2y\right)+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\left(\frac{\cos\left(y\right)}{\sin\left(y\right)}+\sin\left(y\right)\cos\left(y\right)\right)dx$
Learn how to solve integral calculus problems step by step online.
$\int\left(\frac{\cos\left(y\right)}{\sin\left(y\right)}+\sin\left(y\right)\cos\left(y\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of x=cos(y)/sin(y)+sin(y)cos(y). Find the integral. Simplify the expression inside the integral. The integral \int\frac{\cos\left(y\right)}{\sin\left(y\right)}dx results in: \ln\left(\sin\left(y\right)\right). The integral \int\frac{\sin\left(2y\right)}{2}dx results in: -\frac{1}{4}\cos\left(2y\right).
Final Answer
$\ln\left(\sin\left(y\right)\right)-\frac{1}{4}\cos\left(2y\right)+C_0$