Final answer to the problem
$y=\frac{1}{2}\ln\left(1+\sin\left(x\right)\right)\sqrt{1-\sin\left(x\right)}$
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Step-by-step Solution
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- Choose an option
- Differential
- Find the derivative
- Find the integral
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
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1
Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$
$y=\frac{1}{2}\ln\left(1+\sin\left(x\right)\right)\sqrt{1-\sin\left(x\right)}$
Final answer to the problem
$y=\frac{1}{2}\ln\left(1+\sin\left(x\right)\right)\sqrt{1-\sin\left(x\right)}$
