Final answer to the problem
$\ln\left|\sin\left(x\right)\right|+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Simplify $\frac{\cos\left(x\right)}{\sin\left(x\right)}$ into $\cot\left(x\right)$ by applying trigonometric identities
Learn how to solve trigonometric integrals problems step by step online.
$\int\cot\left(x\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(cos(x)/sin(x))dx. Simplify \frac{\cos\left(x\right)}{\sin\left(x\right)} into \cot\left(x\right) by applying trigonometric identities. The integral of the cotangent function is given by the following formula, \displaystyle\int\cot(x)dx=\ln(\sin(x)). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$\ln\left|\sin\left(x\right)\right|+C_0$
